Question

2y = x + 3 5y = x - 7 What is the solution set of the given system?

A.){(-1/3, -4/3)}

B.) {(1/3, 4/3)}

C.){(-29/3, -10/3)}

D.){(29/3, 10/3)}

Thank you to whomever helps!!

Answer 1

Hi!

We need to find the value of x by isolating it on one side of one of the equations.

5y = x - 7

Add 7 to both sides.

5y + 7 = x - 7 + 7

5y + 7 = x

Now put the value of x in the other equation.

2y = 5y + 7 + 3

Simplify

2y = 5y + 10

Subtract 5y from both sides.

2y - 5y = 5y - 5y + 10

-3y = 10

Divide by -3 on both sides.

y = -10/3

Now put the value of y in the other original equation to solve for x!

5 * -10/3 = x - 7

-50/3 = x - 7

Add 7 to both sides.

-50/3 + 7 = x - 7 + 7

-29/3 = x

The answer is C.){(-29/3, -10/3)}

Hope this helps! :)

-Peredhel