Question

Solve the following system of equations for x and y.

Answer 1

Answer:

We can solve this system by elimination to solve for y by multiplying the top equation by 4 and the bottom one by -5.

$4(5x + y = 2)\\-5(4x - 2y = 10)\\\\20x + 4y = 8\\-20x + 10y = -50\\\\14y = -42\\\\y = -3$

Now, with what we got for y, we plug it back into one of the original equations. I chose the top one.

$5x + 7 = 2\\\\5x = -5\\\\x = -1$

Now we have the solution of this system

The solution is A. (-1, -3).