Question

Which value of y below is the solution to the system shown below. A) y=6 B) y=-1 C) y=-4 D) y=8

Equations: x+2y=27
2x+3y=46

Answer 1

first set the first equation equal to x

subtract 2y from both sides

x=27-2y now plug this in to the other equation

2(27-2y)+3y=46 distribute

54-4y+3y=46 --> 54-y=46 now subtract 54 from both sides -y=-8 --> D)y=8

If you weren't asked to show work you could just plug the choices given into the equation