Question

What would be the first step to this system of equations?

Answer 1

The first step to apply using the elimination method is by multiplying the whole value of equation 1 by 3/2.

`\begin{gathered} (2x+3y=5\text{ )}*(3)/(2) \\ -3x+2y=-14 \\ 3x+(9)/(2)y=(15)/(2) \\ -3x+2y=-14 \\ (9)/(2)y+2y=(15)/(2)-14 \\ (9y+4y)/(2)=(15-28)/(2) \\ (13y)/(2)=(-13)/(2) \\ 26y=-26 \\ y=-1 \\ -3x+2(-1)=-14 \\ -3x-2=-14 \\ -3x=-14+2 \\ -3x=-12 \\ x=(-12)/(-3) \\ x=4 \end{gathered}`