Question

5x + y = 2 -5x + 3y = -14

Answer 1

y = -3; x = 1

Explanation:

Step 1: Eliminate the xs

• The system of equations is already arranged in a way that allows to eliminate the x's and first find the value of y:

`5x + y =2\\-5x+3y=-14\\\\4y=-12\\y=-3`

Step 2: Plug in -3 for y

• We can now plug in -3 for y in any of the two equations to find the value of x. Let's try the first equation:

`5x-3=2\\5x=5\\x=1`

Optional Step 3: Check by plugging system of equation solution (1, -3) for x and y in both equations

• Finally, we can check our answer by plugging in 1 for x and -3 for y in both equations and see whether we get 2 and -14

First equation:

`5(1)-3=2\\5-3=2\\2=2`

Second equation:

`-5(1)+3(-3)=-14\\-5-9=-14\\-14=-14`

Thus, our answer is correct

Answer 2

the answer will be x = 1, y = -3