is the ordered pair (-3,2) a solution of the given system. 4x+y=12, x+2y=7

Question

I know the answer is no unless I am wrong. but I cant find the steps they are confused me

Answer 1

there are different ways to solve the problem

you can substitute the ordered pair into one or both equations

you can solve the system and find the solution

4x+y=12

x+2y=7

multiply the top equation by 2

8x+2y=24

x+2y=7

subtract the equations

7x=17

x=17/7, not -3 so you can stop here

or,...

x+2y=7

(-3,2)

substitute

-3+2(2)=7

-3+4=7

1≠7