how do I solve a system of equatons using multiplicaton and eliminaton?

Question

I'm quite confused by my question. If anyone could help me solve 7x - 3y = -5 3x + 2y =11 , that'd be great!

Answer 1

7x - 3y = -5

3x + 2y = 11

There is more than one way to do this. You can start be eliminating x. Multiply the top equation by 3, multiply the bottom equation by -7, and add the 2 resulting equations.

21x - 9y = -15

-21x - 14y = -77

Add these and get

-23y = -92

y = 4

Now plug this value of y into either equation and solve for x. Using the original top equation,

7x - 3(4) = -5

7x - 12 = -5

x = 1

Test the answers.