Question

Solving systems by substitution
x+2y=2
5x+6y=22

Answer 1

y = -3

x = 8

Explanation:

x+2y=2

5x+6y=22

Time the first equation by -5 and add them together to solve for y

-5x - 10y = -10

5x + 6y = 22

-4y = 12

y = -3

Now let's put -3 back in and solve for x

x+2(-3)=2

x - 6 = 2

x = 8

Let's check:

8+2(-3)=2

8 - 6 = 2

2 = 2

So, my answer is correct!