Answer to Question #141640 in Algebra for Javyn Maxton

Question

Solve each system by elimination. Indicate the POI.

A. -x - 2y = -1

B. x + 3y = -2

Answer 1

$$\begin{matrix} -x-2y=-1 \\ x+3y=-2 \end{matrix}$$

$$\begin{matrix} x=-2y+1 \\ -2y+1+3y=-2 \end{matrix}$$

$$\begin{matrix} x=-2y+1 \\ y=-3 \end{matrix}$$

$$\begin{matrix} x=-2(-3)+1 \\ y=-3 \end{matrix}$$

$$\begin{matrix} x=7 \\ y=-3 \end{matrix}$$

Point of intersection $(7, -3).$