Question

Determine which point is the solution to the given system.
y = 3x + 22
y = 2x + 15

Answer 1

(x,y) = (-7, 1)

let me know if this helps, or you need the steps

check your work

1 = 3(-7) + 22

1 = -21 + 22

1=1

1 = 2 (-7) +15

1 = -14 + 15

1=1

Answer 2

We subtract the 2 equations which eliminates the y:-

3x - 2x + 22 - 15 = 0

x + 7 = 0

x = -7

Now plug x = -1 into the first equation:-

y = 3(-7) + 22 = 1

Answer is (-7, 1)