solve this system of equations by using the elimination method.

2x-3y=25
5x+3y=10

Answers

Answer 1

Elimination method is my favorite way to solve 2 equations like this written in standard form! First I'm going to rewrite the equations and mark numbers to make this explanation more clear.

2x-3y=251️⃣

5x+3y=102️⃣

Looking at these 2 equations we can see that there is a +3 and a -3. This could be eliminated by adding the 2 equations together! *Remember what is on the left side adds with the left side, and what's on the right side adds with the right side. Therefore we can do:

1️⃣+2️⃣

2x-3y+5x+3y=25+10

7x=35

x=5

Then we can substitute the value of x back into either of the 2 equations.

2*5-3y=25

10-3y=25

3y=-15

y=-5

Then write the 2 answers together.

{x=5

{

{y=-5

Now we can check our answers.

2*5-3*-5=10- -15= 10+15=25 Correct

5*5+3*-5= 25+ -15= 10 Correct

From this we can see that x=5 y=  - 5 are the correct answers!


Related Questions

mean median mode and range,4,8,6,4,4,1,1

Answers

mean: 4 [(4+8+6+4+4+1+1)/7]

median: 4 [1 1 4 4 4 6 8 the number in the middle is 4

mode: 4 [ there are 3 fours which is the most out of all the numbers]

range: 7 [8-1=7]

what is one astronomical unit in inches

Answers

Answer:

5.89E+12

Step-by-step explanation:

A kitten is born weighing 90 grams and gains 10 grams per day for 14 days.

How many days, x, will it take the kitten to double its weight? Write and solve the equation.

Answers

Answer:

9 days

Step-by-step explanation:

Answer:

180=90+10x  X = 9 days

Step-by-step explanation:

I don't know this question. I REALLY NEED HELP!!!

Answers

Answer:

If it is asking what the answer is when you plug in 5 and 4 to the equation, it would be 54

Answer:

54

Step-by-step explanation:

10m + [tex]\frac{n^{2} }{4}[/tex]

First insert the m value and then multiply

10m = 10(5) =50

then the equation becomes 50 +  [tex]\frac{n^{2} }{4}[/tex]  

Second insert the n value

[tex]\frac{4^{2} }{4}[/tex]

4 to the second power = 16 so it becomes 16 over 4 aka 4 wholes

50+16/4

50+4=54

30 points!!!! a class of 30 students the Ratio of the numbers of boys to girls 7:8
How many girls are there in the class?

Answers

Answer:

16 girls in the class

14 boys in the class

Step-by-step explanation:

Because of the ratio of 7:8, I added 7+8.

7+8= 15

30 (the number of students in the class) divided by 15 (the sum of the ratio)

30/15= 2

I then multiplied 8 from the "girls" part of the ratio by 2 (the quotient of 30/15) and got 16. Then I subtracted 16 from 30 and got 14, which s the number of boys in the class.

Hope this helps!

The temperature was -5 degrees and then fell 8 degrees. What is the temperature now?

Answers

Answer:

-13 degrees tell me if it's right

Answer:

-13 is the answer

Step-by-step explanation:

because -5-8= -13

TWENTY POINTS
PLEASE HELP ASAP DONT STEAL POINTS


Multiplying the radical by a number between 0 and 1 causes the graph of the parent function ( f(x)= √x ) to ___________.

Answers

Answer:

FOR YOU LOVE

Step-by-step explanation:

If a function is defined by a radical expression, we call it a radical function. The square root function is f(x)=√x f ( x ) = x . ... A radical function is a function that is defined by a radical expression.

THE PIC IN ABOVE IS EQUATION TRY TO ANSWER IT

PLEASS MARK ME AS BRAINLIEST LOVE YOU STAY SAFE

In the triangle below x= cm round to the nearest tenth 15 is the hypotenuse 35 is a angle and 90 in an angle. Please help

Answers

Answer:x= 38.079

Step-by-step explanation:

38.079
i got it right

Jesse wants to have $ 500,000 in his IRA when he retires in 40 years. He is able to invest in an IRA that will yield 2 % compounded monthly. How much will Jesse need to invest into his IRA each month to reach his goal?
P=B(r/n)/(1+r/n)^nt-1
A. $ 374.69
B. $ 436.72
C. $ 556.69
D. $ 680.79

Answers

Answer:

Your answer is D.

Step-by-step explanation:

Jeffrey rented a car for spring break. It costs $100 to rent the car plus $8 per mile he was charged $1,316. How many miles did he drive.

Answers

Answer:

152 miles

Step-by-step explanation:

Answer:

he drived around 300 mile

x and y are angles on a line l forming linear pairs . if twice of x is 30 degree less than y . Find x and y .

Answers

Answer:

hope it helped have a good day mate

Solve the two-step inequality and match the answer to the graph

Answers

Answer:

(see below; answers at the bottom)

Step-by-step explanation:

-4x + 7 ≥ 27

-4x ≥ 20

-x ≥ 5

Whenever you multiply or divide by a negative number in an inequality, flip the sign:

x ≤ -5

x/1 - 9 < -10

x - 9 < -10

x < -1

3x - 10 < -25

3x < -15

x < -5

5 (x - 2) > -15

Use Distributive Property:

5x - 10 > -15

5x > -5

x > -1

A) x < -5

So, A) 3x - 10 < -25.

B) x ≤ -5

So, B) -4x + 7 ≥ 27.

C) x < -1

So, C) x/1 - 9 < -10.

D) x > -1

So, D) 5 (x - 2) > -15.

The 28 students in Mrs. Colby's class will share 98 slices of
pizza equally
How many slices will each student get?

Answers

Answer:

3 1/2 slices each

Step-by-step explanation:

98/28=3.5

Answer:

Every student will get 3 to 4 slices of pizza

Step-by-step explanation:

This is because you need to divided 98 with he 28 student, which you will get 3.5. That is the correct answer, but the question asked equally, so each student will get 3 to 4 slices of pizza.

Hope this helped

does anyone know the answer

Answers

Answer:

y+8x X 5

Step-by-step explanation:

Answer:

first one and last one

Step-by-step explanation:

20 points!!

Find the value of y when x=9.
y=1- 2x

Answers

Answer: The answer is -17

Step-by-step explanation:

Brainlist Plz?

Rachel found 2 quarts on the floor.what decimal represents the 2 quarters

Answers

2 quarters = .50 or 0.50

What amount of tax will be owed on an income of 63,280 if city income tax rate is 1.5% of all income

Answers

Answer:

multiply 63280 by 1.5% (.015).  The answer is $949.20

Step-by-step explanation:

what is the error in this polynomial x²+9=(x+3)(x+3)?​

Answers

Answer:

(x + 3i)(x - 3i)

Step-by-step explanation:

Wrong statement: x² + 9 = (x + 3)(x + 3)

Correct statement: x² + 9 = x² - (3i)² = (x + 3i)(x - 3i)

4.) A radio station tower was built in two sections. From a point 87 feet from the base of the tower, the angle of elevation of the top of the first section is 25°, and the angle of elevation of the top of the second section is 400. To the nearest foot, what is the height of the top section of the tower? (LT. 3.7 & 3.8)

(This is Trigonometry)

Answers

tan25°=a/87, a (lower half of tower) = 36.0366.
tan40°=x/87, x = 63.209.
subtract 63.209-36.0366=27.1724~27 ft.

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 38 minutes of calls is $ 25.06, and the remaining credit after 69 minutes of calls is $21.03. What is the remaining credit after 80 minutes of calls?

Answers

Answer: $19.6

Step-by-step explanation:

Linear function: f(x)=mx+c

, where  m= rate of change in f(x) with respect to x.

c = Initial value.

Let c = Initial value of card , m= Charge per minute

x= Number of minutes calling time.

Then, 25.06= 38m+c   (i)

21.03=69m+c (ii)

Eliminate (ii) from (i)

[tex]4.03=-31m\\\\\Rightarrow\ m=\dfrac{4.03}{-31}\\\\\Rightarrow\ m=-0.13[/tex]

Put m in (i) , we get

[tex]25.06= 38(-0.13)+c\\\\\Rightarrow\ 25.06=-4.94+c\\\\\Rightarrow\ c=25.06+4.94\\\\\Rightarrow\ c=30[/tex]

i.e. f(x)=-0.13x+30

if x=80 then

f(80)= -0.13(80)+30

=-10.4+30

=19.6

Hence, the remaining credit after 80 minutes of calls = $19.6

I don't remember how to do this question,






also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL ​

Answers

Answer:

x and p equal 92 and y equals 88

10v2 + 50
o Linear binomial
o Constant binomial
Quadratic binomial
Quadratic trinomial

Answers

Answer:

what is the question? probably describe the polynomial. okay. the polynomial 10v^2 + 50 is a quadratic (it is to the 2nd power) and a binomial (has 2 terms).

Find the degree of polynomial 2x⁵-10x⁴-5x²+12x⁸-6
help​

Answers

y= 2x ^ 5 + 10x ^ 4 - 5x ^ 2 + 12x ^ 8 - 6
Intercept is (0,-6)

the difference of two numbers is 8. their sum is 17. find the two numbers?

Answers

9514 1404 393

Answer:

4.512.5

Step-by-step explanation:

Let s represent the smaller number. Then s+8 is the larger number, and their sum is ...

  s + (s+8) = 17

  2s = 17 -8 = 9

  s = 9/2 = 4.5

  s+8 = 4.5 +8 = 12.5

The two numbers are 4.5 and 12.5.

_____

Comment on problems of this type

A method is shown here for solving the problem using one equation in one variable. The general solution can be seen to be ...

  two numbers = (sum ± difference)/2

Here, that is ...

  two numbers = (17±8)/2 = (25, 9)/2 = (12.5, 4.5)

Find the measure of arc BC

Answers

Answer:

The measure of the Arc BC is 80

I agree! The BC is 80

Determine the slope and the y-intercept: y = 3x - 1

Answers

Answer:

Slope is 3

y - intercept is -1

Answer:

slope = 3, y- intercept is - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 1 ← is in slope- intercept form

with slope m = 3 and y- intercept c = - 1

What is the area of a square with side lengths of 3/5 units? Please explain how you know.

Answers

9/25

When trying to an area of a square, you multiply one side by another side to get the answer (length x width).

3/5 x 3/5 = 9/25

Numerator x numerator.
Denominator x denominator.

I am in need of help

Answers

Answer:

I would say the answer is D because the figure is rotated 180 degrees. Letters C and D are pretty much the same just with some differences, but I would say D. Let me know if it's wrong :)

Step-by-step explanation:

Solve. Use paper to show your work. Enter your answer in the box.



4\frac{5}{6}-2\frac{1}{2}=4
6
5

−2
2
1

=
4
4​

Answers

Answer: illegel input- too many equals signs

Step-by-step explanation:

Ryan works for a cell phone company. He earns $2,000 per month. He also receives $15 for each cell phone that he sells. Ryan's paycheck last month was $2,180. How many cell phones did Ryan sell last month?

Answers

Answer:

12 phones

Step-by-step explanation:

15 x 12 = 180 add 180 to his 2000 and bam 2,180

Other Questions
Donna packs 14 pounds of nuts in bags . Each bag has 1/4 pound of nuts Which equation shows the number of bags Donna packed with all the nuts guys pls help me pls Daniel used to collect baseball cards as a kid. He purchased a particularcard for $30 in 2006 and the value of the card increases by 2.5% per year.How much is his card worth now (in 2021)? Use units and roundappropriately. HURRY PLEASE!!! Drag each tile to the correct category. Determine whether the following descriptions describe Patriots or Loyalists. favored independence from British rule opposed independence from British rule believed that independence would boost economic growth believed that the British government would protect their rights Patriots Loyalists Discuss some of the programs challenges. https://www.pbs.org/video/need-know-financial-literacy/ X^2+10x+22=13 1. Rewrite the equation by completing the square your equation should look like (x+c)^2 = d or (x-c)^2=d 2. What was the solution to the equation? The relationship between a carnivore and an herbivore can be stated asAparasite and hostBpredator and preyCprey and predatorDscavenger and parasite Write a diary entry in 80-100 words aboutwinning a quiz. Share your emotions withyour diary. A) Calculate the vapor pressure of a 7% by mass benzaoic acid in ethanol solution at 30C. The vapor pressure of pure ethanol at this temperature is 13.40 kPa. ( assume a 100 g of solution)B) Calculate the boiling point of the solution above Amazon Company uses predetermined departmental overhead rates based on direct labor cost to apply manufacturing overhead to jobs. The predetermined overhead rate for Department A this year was 200% of direct labor cost. The predetermined overhead rate for Department B this year was 50% of direct labor cost. Job Delta, which used labor time in both departments, was charged with the following costs. Dept A Dept BDirect materials $50,000 $10.000Direct labor ? $60.000Manufacturing overhead $80.000 ? What was the total manufacturing cost assigned to Job Delta? a. $270,000 b. $360,000 c. $390.000 d. $480.000 describe one way in which the body gets rid of lactic acid how much grams are in a milligram why do we know that the fault is younger than the three rock layers What's the equation of a line that passes through point (1, 3) with a slope of 1? What do "quisiera", "me trae", and "me gustara" all have in common when it comes to asking a waiter or waitress for something?A. they have nothing in commonB. they show dissatisfaction in the food servedC. they are stem-changing verbsD. they can be used interchangeably what is the sum of 8bb-4bb what does conserving resources mean What is an example of a secular law code what are the 4 mental states Which equation is the result of adding theses two equations -2x+4y=17 3x-10y=-3