Solve the system by subtitution y = 3x + 18 y = 5x

Answers

Answer 1

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

Answer 2

The required solution to the given system of equations is (x, y) = (9, 45).

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

The system of equations is given the question as:

y = 3x + 18

y = 5x

To solve this system of equations by substitution, we can start by substituting the equation y = 3x + 18 into the second equation, which gives us:

5x = 3x + 18

Then we can solve this equation for x:

2x = 18

x = 9

Now that we have found the value of x, we can substitute it back into either of the original equations to find the value of y:

y = 3x + 18 = 3(9) + 18 = 27 + 18 = 45

Therefore, the solution to the system of equations is (x, y) = (9, 45).

Learn more about the equation here:

brainly.com/question/13947055

#SPJ2


Related Questions


The geometric figure that is created after plotting the points A (-3,-6), B (5,-6), C (5,-4) and D (-3,-4) on the
coordinate plane is a
A triangle.
B square.
c circle.
D rectangle.

Answers

Answer:

D. a rectangle

Step-by-step explanation:

On a coordinate plane it is D. RECTANGLE (I think)

Which equation is the correct translation for the following statement?

Five less than a number is ten.

I WILL BE MARKING BRAINLIEST

Answers

Answer:

i. x-5=10

Step-by-step explanation:

hope this help u

what is 1+2=? i need to know if it’s 2 or 12

Answers

Answer:

3

Step-by-step explanation:

1+2 = 3

The answer will be 3

help will mark brainliest plz plz plz

Answers

hope it will help you..............

Answer:

4.3

Step-by-step explanation:

subtract CD from CZ to find DZ

this is the same thing as CZ - CD = DZ

substitute in our values: 6.7 - 2.4 = DZ

you get DZ = 4.3

If x=−1and y=−3, then 5(x2−7+y)=

Answers

Answer:

-60

Step-by-step explanation:

(plug in x= -1 and y= -3)

your equation will look like this-

5 ((-1)2-7+(-3))

solve using PEMDAS

can someone please please please help me asap?!

Answers

Answer:

-1.5

Step-by-step explanation:

Rise is 3, run is -2

I hope this helps..

Decrease £313 by 62%
Give your answer rounded to 2 DP.

Answers

Answer:

194.06

Step-by-step explanation:

£313 decreased by 62% is £118.94

In order to determine the answer, the first step to take is to determine the value of 62% of £313.

Value of 62% = 62% x £313

0.62 x £313 = £194.06

The second step is to subtract the value of 62% of £313 from £313

£313 - £194.06 = £118.94

In order to decrease £313 by 62%, the first step is to determine the value of 62% of £313 and then subtract the value gotten from the previous step from £313.

A similar answer was solved here: https://brainly.com/question/18837466?referrer=searchResults

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) . Jim believes that he has created a rhombus but not a square. Prove that Jim is correct.

Answers

Answer: yes Jim is correct

Each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

What is a quadrilateral?

The quadrilateral has four sides and four angles. The sum of internal angles is 360 degrees.

If all the sides of the quadrilateral are congruent then the quadrilateral may be a square or rhombus.

If none of the angles of that quadrilateral is equal to 90 degrees. Then the quadrilateral is known as a rhombus.

Jim is experimenting with a new drawing program on his computer. He created quadrilateral TEAM with coordinates T(- 2, 3), E(- 5, - 4), A(2, - 1) , and M(5, 6) .

The diagram is given below.

From the diagram, each side of the quadrilateral is congruent. Then the quadrilateral is known as the rhombus.

More about the quadrilateral link is given below.

https://brainly.com/question/13805601

#SPJ2

help me out, please :-)

Answers

Answer:

No we see that x= 3 goes to 11 and so does x= 6

To be a function each x must correspond to a distinct y

This is NOT a function!

The non-fiction section of the Montgomery County Library has 15 racks. If each rack holds 528 books, what is the total collection of non-fiction books in the library.

Answers

Answer:

when you do 15×528 you get 7920 books

What is the the the the answer for 40+1.5

Answers

The answer is 41.5. It’s pretty simple

how many square inches are needed to cover a square foot????? Please help me?!?!?!??!?!

Answers

Answer:

144

Step-by-step explanation:

12 inches by 12 inches is 144. quick mafs

Answer:

144

Step-by-step explanation:

Which statement describes a property of water?
O A. It is less dense as a solid than as a gas.
o B. It is less dense as a solid than as a liquid.
C. It is more dense as a gas than as a liquid.
0
D. It is more dense as a solid than as a liquid.

Answers

Answer:

the answer is D. dense means heavier, basically

Answer:

its D dense

Step-by-step explanation:

because dense means more inside

Please help this is a major gradeeeeee

Answers

Answer:

45

Step-by-step explanation:

I think it’s
45 hopefully it’s right let me know!

How many ratios are equivalent to 3 : 8 ?

Answers

Answer:

6 : 16, 12 : 32 and 18 : 48.

Step-by-step explanation:

Therefore, the three equivalent ratios of 3 : 8 are 6 : 16, 12 : 32 and 18 : 48.

How many years does it take an account with a principal of $400 and an annual simple interest of 2% to double?

Answers

I got you add 2% to 400 and there ur answer
With $400.00 account paying 2% interest in a year, it would take 25 years to double the money. Yearly interest is at $20.00.

i need help btw i am in middle school

Answers

Answer:

x≤16

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

2x-4<28

add 4

2x=<32

divide by 2

32 is greater than or equal to 16

The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is the maximum number of days for which a car could be rented if the total cost was $425?

Answers

Answer:

6 days

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

To get the maximum number of days for which a car could be rented if the total cost was $425, substitute c = 425 into the expression and find n

425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days

Determine whether the following graph represents a function.

A. Function
B. Not a function

Answers

Answer:

B. not a function

Step-by-step explanation:

A function is a set of data in which no x values repeat, but where y values may or may not repeat.

Susan drove 754 miles in 13 hours.
At the same rate, how long would it take her to drive 638 miles?

Answers

Answer:

It would take her 11 hours

Hope this is right

Step-by-step explanation:

What is the value of x in the equation 5/2x + 2 = 3.5
ahh math

Answers

Answer:

x=5/26

Step-by-step explanation:

5/2x+2=3.5

5/2x+2=3×5

5/2x=15-2

5/2x=13

5=26x

5/26=x

x=5/26

hope this help if you want a better explanation I'll explain in the comments or something

Divide 1 1/2 divided by 1/4 in simplest form

Answers

Answer:

6

Step-by-step explanation:

1 1/2 divided by 1/4. Firstly you simplify the mixed number 1 1/2 to an improper fraction to make the process easier. So if it is simplified it would be 3/2.

Now you follow the division process and then simply the answer and it would be 6.

Answer:

Answer is 6

Step-by-step explanation:

Change 1 1/2 into 3/2

Multiply by the reciprocal: 3/2 x 4/1

3/2 x 4/1 = 12/2

12 divided by 2 = 6

Hope this helps :)

At the arcade, Sami won 2 blue tickets, 1 yellow ticket, and 3 red tickets for 1500 total points. Jamie won 1 blue ticket, 2 yellow tickets, and 2 red tickets for 1225 total points. Yvonne won 2 blue tickets, 3 yellow tickets, and 1 red ticket for 1200 total points. Write a system of equations to represent this situation. Let b = point value of blue tickets; y = point value of yellow tickets; r = point value of red tickets Create a matrix for your system.

Answers

Answer:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

Step-by-step explanation:

Given

[tex]b = blue[/tex]

[tex]y = yellow[/tex]

[tex]r = red[/tex]

Required

Represent as a matrix

For Sammy:

[tex]2\ blue + 1\ yellow + 3\ red =1500[/tex]

So, we have:

[tex]2b + 1y + 3r = 1500[/tex]

[tex]2b + y + 3r = 1500[/tex]

For Jamie:

[tex]1\ blue + 2\ yellow + 2\ red =1225[/tex]

So, we have:

[tex]1b + 2y + 2r = 1225[/tex]

[tex]b + 2y + 2r = 1225[/tex]

For Yvonne:

[tex]2\ blue + 3\ yellow + 1\ red =1200[/tex]

So, we have:

[tex]2b + 3y + 1r = 1200[/tex]

[tex]2b + 3y + r = 1200[/tex]

The system of equations are:

[tex]2b + y + 3r = 1500[/tex]

[tex]b + 2y + 2r = 1225[/tex]

[tex]2b + 3y + r = 1200[/tex]

To represent as a matrix, we have:

[tex]\left[\begin{array}{ccc}b_1&y_1&r_1\\b_2&y_2&r_2\\b_3&y_3&r_3\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]  [tex]= \left[\begin{array}{c}Total_1&Total_2&Total_3\end{array}\right][/tex]

This gives:

[tex]\left[\begin{array}{ccc}2&1&3\\1&2&2\\2&3&1\end{array}\right][/tex]  [tex]\left[\begin{array}{c}b&y&r\end{array}\right][/tex]   [tex]= \left[\begin{array}{c}1500&1225&1200\end{array}\right][/tex]

4/3(6y+21)-17>43 help pls

Answers

Answer:

Step-by-step explanation:

4/3(6y+21)-17=43

move all terms to the left:

4/3(6y+21)-17-(43)=0

Domain of the equation: 3(6y+21)!=0

y∈R

We add all the numbers together, and all the variables

4/3(6y+21)-60=0

You multiply all the terms by the denominator

-60*3(6y+21)+4=0

multiply elements

It’s algebra 6x -9=y show work

Answers

Answer:

6x - 9 = y

x - (-1.5)

x - (-1.5) = y

Step-by-step explanation:

Hola chicos, solo necesito ayuda con la vida. Solo bromeaba o lo estoy?

Answers

Answer:

no sé eres tú

Step-by-step explanation:

Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?

Answers

It will take 20 hours to completely fill the pull with 920 gallons of water. Because they are asking HOW MANY MORE it would take 15 more hours. How I got to that answer: Divide five from 230. You’ll end up getting 46 which means the pull is being filled up 46 gallons per hour. Now you’re going to want to divide 46 from 920. That’s when you’ll get 20.

It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

What is a fraction?

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

We have:

After 5 hours the pool filled with 230 gallons

Let's suppose that after x hours the pool will fill with 920 gallons

After x hours the pool filled with 920 gallons.

As the water input contained at a constant rate

So the value of x can be evaluated:

[tex]\rm x = \frac{920\times5}{230}[/tex]

x = 20 hours

Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.

Learn more about the fraction here:

brainly.com/question/1301963

SPJ2

When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7

Answers

Answer: n(7)+3=10
Explanation: 7+3 equals 10

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

When n = 7

[tex]n + 3[/tex]

[tex]7 + 3[/tex]

[tex]10[/tex]

hence, the given expression is equal to 10, when n = 7

I need some help with this question don't get it help please.

Answers

Answer:

Scale factor is 3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

The scaled factor is basically the multiplier of which the shape has been transformed. As you can see on the shape from figure A to figure B, the numbers have been divided by 3. 9/3=3, 3.6/3=1.2

Hope this helps you!

I need help with this asap plzzz&thank u!!

Answers

Answer:

94hhfgkifc llo gfc bbn jdcjkydcjkufv

Other Questions
Help help help! Its due in a few mins! HELP!!!!!!!!!!!! ITS FOR A FRIEND The population in Smalltown in 2010 was 30,500 people and is growing exponentially at a rate of 3 percent. Write an equation that defines the population t years after 2010? What was one result of the Gupta Empire's interactions with markets in China and Rome? round to the nearest hundredth if so. Use 3.14 as pi 8. r= d = C=78.8 ft b) (8x3 + 27) = (2x + 3) We heard that they ___________ these concepts prior to class (use past perfect)Has learnedWill learnLearnedHas learned Rewrite the following expression in simplest radical form: (4x^2/3)^3 - (81x^5)^1/4 Joseph runs 2/12 miles on Monday. Each day after that, he runs the same 1/13 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after Monday that Joseph needs to run to reach his goal?What is the least number of days after Monday that Joseph needs to run to reach his goal? Which lines of dialogue does the playwright include in Brighton Beach Memoirs to show Kate's viewpoint of her niece? Always studying, that one. She's gonna have some head on her shoulders. I just have this one edge to finish... Laurie, darling, help your Aunt Kate with the dishes. Blanche, that's enough sewing today. That's all I need is for you to go blind. No? Then who? Laurie? Aunt Blanche? Did you ever see them on skates? For each gym memberships sold, the gym keeps $42 and the employee who sold it gets eight dollars. What is the commission of the employee earned as a percentage of the total cost of the gym membership? Some number was divided into 42. This quotient was then multiplied by 8,after which the resulting product was added to 10. Given this sum totalled to 34,find the initial number. Victor bought the shoes on sale for $120. The sale was 20% off. What was the original price of the shoes? Please help Thank you ! :) HELP PLS PLS ILL MARK U BRAINLIEST 3. Two linear functions are shown below. Which function has the greater rate of change? Justify your response LOOK AT PIC! plz help what eqwation of a parabola with a focus(6,-2) and a directrix x=-2 1. Marie Curie, a scientist, was the first woman to win a Nobel Prize.2. I think Marie Curie must have loved science, since she won a Nobel Prize.3. Marie Curie rocks because she studied science for a long time.4. I think science is a cool subject, and Marie Curie would agree with me!Which sentence has appropriate language for a sixth-grade paper about Marie Curie?A. 2B. 4C.1D. 3 6338 divided by 43 with remainder Pls ans. i need this tommorow pls thank u1. It is a means of perpetuating the race of the species whose life span is finite.A. ReproductionC. OogenesisB. FertilizationD. Spermatogenesis2. It is a method of reproduction that does not invove the union of gametes.A. Sexual ReproductionC. SporulationB. PropagationD. Asexual Reproduction3. What do we call the process that is widely used to propagate desired varieties of trees and shrubs.A. GraftingC. LayeringB. BuddingD. Sporulation4. It involves the breaking of any part of the body or the breaking up of the entire body into severalpieces.A. RegenerationC. FragmentationB. PropagationD. Autotomy Jakes rental car service uses the equation y = 0.45x + 39.50 to calculate the total cost, y, where x is the number of miles driven. Angies rental car service uses this table to calculate the cost of a car rental.