What is the solution to this system of linear equations?

y = 2x + 10 y = x + 22

x = 12, y = 34

Step-by-step explanation:

y = 2x + 10

y = x + 22

Since both equations are equal to y, set them equal to each other

2x + 10 = x + 22

Subtract x from each side

2x-x+10 = x-x+22

x+10 = 22

Subtract 10 from each side

x+10-10 = 22-10

x = 12

Now we find y

y = x+22

y = 12+22

y = 34