Question

Sam solved the system of equations below and found that x= 4. Which

ordered pair is the solution to the system?
2x+4y=36
6x+2y=38

Answer 1

The ordered pair is: (4, 7)

Explanation:

We have the following system of equations

`2x+4y=36`

`6x+2y=38`

To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.

We already know that x = 4.

Then we substitute the value of x in any of the two system equations and solve for the variable y.

`2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=(28)/(4)\\\\y=7`

The ordered pair is: (4, 7)

Answer 2

The ordered pair for the system of equations is (x,y) i.e (4,7)

Explanation:

Ordered pair is the represented as (x,y) i.e value of x and value of y.

We are given system of equations:

2x+4y=36 eq(1)

6x+2y=38 eq(2)

and after solving above equations value of x is found to be 4.

We need to find the value of y.

We can find value of y by putting value of x in eq(1)

2x+4y=36

2(4)+4y =36

8+4y = 36

4y = 36-8

4y = 28

y = 7

So, value of y is 7

The ordered pair for the system of equations is (x,y) i.e (4,7)