Need help solving this equation using elimination

Question

5x+4y=1

-3x+4y=-7

Answer 1

Just subtract the 2nd equation from the first equation this eliminates y. the solve for x, put that value in either equation and solve for y and you are done.

Jim

Answer 2

Greetings! Lets solve this shall we!?

First, we must decide on which variable we want to eliminate first! Lets choose to eliminate y and solve for x first!

Lets multiply the first equation by -1 such that,

(-1)(5x+4y=1)

-3x+4y=-7

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-5x - 4y = -1

-3x + 4y = -7

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-8x = -8

Then divide -8 to get x = 1

Now we plug in x = 1 to the first equation (5x + 4y = 1) such that

5(1) + 4y = 1

5 + 4y = 1

-5 -5

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4y = -4

Then divide 4 yo get y = -1

I hope this helps!