Question

Solve each system by graphing and then write the solution. 4x - y = -2x + y = -3

Answer 1

To graph the lines, we need to find the x and y intercepts.

For 4x - y = -2

The x intercept is :

`\begin{gathered} 4x-\cancel{y}=-2 \\ x=-(2)/(4)=-0.5 \end{gathered}`

The y intercept is :

`\begin{gathered} \cancel{4x}-y=-2 \\ y=2 \end{gathered}`

The points are (-0.5, 0) and (0, 2)

For x + y = -3

The x intercept is :

`\begin{gathered} x+\cancel{y}=-3 \\ x=-3 \end{gathered}`

The y intercept is :

`\begin{gathered} \cancel{x}+y=-3 \\ y=-3 \end{gathered}`

The points are (-3, 0) and (0, -3)

Plot the points and connect it with a straight line, then find the intersection.

The solution is (-1, -2)