Find ghe solution to the system. Write your solution as an ordered pair (x,y) with no spaces,no solution,or infinitely many.y=4x and 3x+2y=55​

Answers

Answer 1

Answer:

The solution of the system is (5, 20).

Step-by-step explanation:

y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.

The first can be rewritten as

4x – y = 0.

Therefore, we have:

4x – y = 0

3x + 2y = 55

Multiplying the first equation by 2 all through, we have

8x – 2y = 0.

So we can now combine the second equation with the first multiplied by 2.

8x – 2y = 0

3x + 2y = 55

Adding these equations we have:

11x = 55

Divide both sides by 11 and we have

x = 5

Substitute x = 5 in equation 1, we have

4(5) – y = 0

y = 20.

Therefore, x = 5 and y = 20.

The solution of the system is (5, 20).


Related Questions

Mary's Muffins makes 300 muffins on Thursday mornings. On Fridays, they make 10 times as many muffins as they do on Thursdays. How many muffins does Mary's Muffins make on a Friday? *​

Answers

Answer: 3,000

Step-by-step explanation: 300 x 10 = 3000

Answer:

3000

Step-by-step explanation:

300+300=600+300=900+300=1200+300=1500+300=1800+300=2100+300=2400+300=2700+300=3000

A Farm stand sells two types of grapes the cost of green grapes can be represented by the equasion y=1.5x, where y is the total cost for x pounds. the graph represent the cost of black grapes. what statement must be true?
answers
a) three pounds of green grapes cost 6.00
b) two pounds of black grapes cost 3.00
c)black grapes cost less per pound than green grapes
d)black grapes cost more per pound the green grapes

Answers

Answer:

I dont know because their is no graph angel O stop looking up the answer

Step-by-step explanation:

ITs not A

The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?

Answers

Answer:

y = 2.3x

Step-by-step explanation:

y = kx  

52.9 = 23x

52.9 ÷ 23 = x

x = 2.3

What is the center of the circle x² + y2 - 4 = 0?

Answers

Answer:

(0,0)

Desmos graphing calculator is a great way to enter the formula of a circle and see a visual example.

Answer: (0,0)

Explanation: The equation for a circle is (x - h)^2 + (y - k)^2 = r^2, where (h,k) is the vertex and r is the radius. Rearranging the given equation, we have that x^2 + y^2 = 4. Therefore, the center of the circle is (0,0), and its radius is 2.

Sheldon gets paid $4 per hour to babysit his cousin. This
weekend, he babysat on both Saturday and Sunday. He
made a total of $56. Sheldon babysat for 8 hours on
Sunday. For how many hours did he babysit on Saturday?
Let x = hours spent babysitting on Saturday. Choose the equation and
solution steps that correctly represent this problem.

Answers

Answer:

6

Step-by-step explanation:

4 times 8 = 32. 56 - 32 = 24. 24 divided by 4 = 6.

Solve the radical equation. Quick !!! Show work !
-26x + 3 = -18

Answers

Answer:

12

Step-by-step explanation:

[tex]-2\sqrt{6x+3} = -18[/tex]

divide both sides by negative 2

[tex]\sqrt{6x+3} = 9[/tex]

square both sides

6x+3=81

6x=78

x=12

If 9(x-9) = -11, then x= ?
A. - 92/9
B. -20/9
C. - 11/9
D. -2/9
E. 70/9

Answers

The answer is x= -11/9

c) Which of these numbers is a square number?

A) 4 x 10^5

B) 9 x 10^4

C) 4 x 10^3

D) 9 x 10^3

Answers

Answer:

A is the correct answer

Answer:

non of them

Step-by-step explanation:

Square number should have power of 1/2 .

What are the coordinates of point K?

Answers

Answer:

i think its b

Step-by-step explanation:

im not sure but i hope this helps

Answer:

the answer is the last one or D

Step-by-step explanation:

Write the standard equation of the circle.

I’ll give brainliest!

Answers

The answer is 10 you’re welcome

Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)

Answers

Answer:

the second one

Step-by-step explanation:

Answer:

The last one

Explanation:

-7 times 2 will be -14 and -7 times 5d would be -35d which is exactly what they ask for

6th grade math help me plzzzz

Answers

The answer is t = -0.9

A building has 15 floors of offices above
ground and 3 floors below ground. Lucy
parks on the 3rd floor below ground
and has an office on the 10th floor. The
ground floor is floor zero. How many
floors must she go up from her car to
her office?

Answers

Answer:

13 floors

Step-by-step explanation:

it says the ground floor is floor zero. she is 3 floors below the ground floor so you add 3+10 to get the amount of floors she has to go up to get to her office.

What’s the answer to this question ? 4.4y - 5x = -8

Answers

what do you want us to solve for? Step-by-step explanation:

Write an algebraic expression or equation to represent each word phrase.
Seventeen increased by twice a number, n

Answers

Answer:

2n + 17

Step-by-step explanation:

Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?

Answers

Answer:

$141.75

Step-by-step explanation:

(900)(-105) (13/12) or 1.5

im confused right now.

Answers

Answer:

x = -45

Step-by-step explanation:

It costs $60.00 to rent the gymnasium, plus $5.00 per person. What would be the total cost to rent the gymnasium for 40 people?

Answers

$260.00
Because you won’t need to multiply the $60.00 per person

what's $90.94 with 50% off..?

Answers

Answer:

Write 50% as a decimal number:  

 

STEP 2: Multiply  by 90.94:

Step-by-step explanation: answer is 49.47

Answer:

45.47$

Step-by-step explanation:

50% means to cut things off by half

Simon is creating the clay structure shown below. Simon has boxes of clay that each contain 200 of clay. How many boxes of clay does Simon need to open to make the sculpture? A. 3 B. 4 C. 5 D. 6

Answers

Answer:

D.6

Step-by-step explanation:

The Mallards pay their two quarterbacks $7.2 million and $1.4 million. If the team salary is $33 million a year and their budget for quarterbacks is 25% of total salaries. Are they over budget? a) Yes b) No

Answers

Answer:

a) Yes

Step-by-step explanation:

The computation is shown below:

Given that

Their two quarterbacks is $7.2 million and $1.4 million

Its total is

= $7.2 million + $1.4 million

= $8.6 million

Now if the team salary is $33 million

And their budget is 25% of total salaries

i.e.

= $33 million × 25%

= $8.25 million

So as we can see that it it overbudget as the target is $8.25 million but it is $8.6 million

SO, the correct option is a.

Answer:

Yes

Step-by-step explanation:

The inverse of f (x)=x^2-3 is?

Answers

Answer:

[tex]f^{-1}[/tex](x)=[tex]\sqrt{x+3}[/tex]  , - [tex]\sqrt{x+3}[/tex]

Step-by-step explanation:

Plz help me on this :))

Answers

X is 4 if I am correct
The function is
Y=2|x-2|+4

What is the slope and y intercept of Y= -4x + 2

Answers

Answer:

Slope=-4

Y intercept= 0,2

Step-by-step explanation:

Use the slope-intercept form to find the slope and y-intercept.

Lin notices that the number of cups of red paint is always 15 of the total number of cups (0.2 of the total number of cups). She writes the equation r = 15t (r = 0.2t) to describe the relationship. Which is the independent variable? Which is the dependent variable? Explain how you know.

Answers

Step-by-step explanation:

The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.

She writes the equation r = 15t (r = 0.2t) to describe the relationship.

In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.

The number of cups of red paint is a dependent variable as it depends on the number of cups.

The three angles of a triangle measure x+37, 90, and x+67. Find the measurement of the smallest angle in degrees.

Answers

Answer:

The smallest angle in the triangle is 30°

Step-by-step explanation:

You can solve this by including the fact that the sum of the angles in the triangle has to be 180 degrees. We're given values describing the angles, so we can simply add them together, say the equal 180, and solve for x:

[tex](x + 37) + 90 + (x + 67) = 180\\2x + 37 + 90 + 67 = 180\\2x + 194 = 180\\2x = 180 - 194\\2x = -14\\x = -7[/tex]

The smallest angle then is x + 37, or 37 - 7, giving us 30°

If three angles of a triangle measure x+37, 90, and x+67. Then 30 degrees is the measurement of the smallest angle in degrees.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given,

The three angles of a triangle measure x+37, 90, and x+67.

We need to find the measurement of smaller angle.

From angle sum property we know that the sum of three angles is equal to 180 degrees.

x+37+90+x+67=180

2x+194=180

Subtract 194 from both sides

2x=180-194

2x=-14

Divide both sides by 2.

x=-7

Substitute the value of x in smallest angle

x+37

-7+37=30

Hence the measurement of the smallest angle in degrees is 30

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ2

I will give brainlist

Answers

Answer:

7

Step-by-step explanation:

A ladder is 61 inches tall. How tall is it in feet and inches

Answers

Answer:

5'1

Step-by-step explanation:

Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.

That mean's it's 5 feet 1 inch.

Answer:

5 feet 1 inch

Step-by-step explanation:

because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch

what is one and one so easy if you answer it correctly I will mark you brainiest​

Answers

Answer: 3 Answers, It could be 11, It also can be the number 2, or it can be a foul shot in sports. Was I right? Or is the answer "one and one"

Step-by-step explanation:

Subtract 4(2x-7) from 5(3x-2)

Answers

Answer:

7x+18

Step-by-step explanation:

Multiplay the numbers by for and five and solve

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