Question

What is the value of x in the solution to the following system of equations? x − 2y = 2 3x + y = 6 Answer for Blank 1:

Answer 1

x=2, y=0

Explanation:

x − 2y = 2

3x + y = 6

I am going to use elimination to solve this system.

Multiply the second equation by 2

2(3x+ y) =2* 6

6x +2y =12

Now add the first equation. This will eliminate y

6x +2y =12

x − 2y = 2

-----------------------

7x = 14

Divide by 7

7x/7 =14/7

x=2

We still need to find y

3x + y = 6

3x+y=6

We know x so substitute it in

3(2) +y =6

6+y=6

Subtract 6 from each side

6+y-6 = 6-6

y=0