How do you solve the system of equations 7x - 6y = 9 and 5x + 2y = 19?

1 Answer
May 6, 2017

x=3
y=2

Explanation:

Use elimination:

Multiply the third equation by 3:

So you have:

7x-6y=9
15x+6y=57

Add these equations together:

22x=66

Solve for x:

x=3

Now plug this back into one of the original equations. I'll choose the second one:

5(3)+2y=19

Solve for y

2y=4

y=2

If you want, you can check to see if this works by plugging into the other equation:

7(3)-6(2)=9

21-12=9

9=9