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

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