Question

Which figure shows the graphic solution to the equations below? y= -3x +1 and y= 2x - 4

Answer 1

Let:

`\begin{gathered} y=-3x+1\text{ (1)} \\ y=2x-4\text{ (2)} \\ \text{ Replace (2) into (1)} \\ 2x-4=-3x+1 \\ \text{solve for x:} \\ 5x=5 \\ x=(5)/(5) \\ x=1 \\ \text{ Replace x into (2)} \\ y=2(1)-4 \\ y=-2 \end{gathered}`