Question

Solve this system of equations by graphing. First graph the equations, and then type the solution.y=3x–1y=–3x–7

Answer 1

In general, to graph a line on the plane, find two points on it and cross them using a straight line.

Finding two points of each of the two lines

`\begin{gathered} y=3x-1 \\ x=1\Rightarrow y=2 \\ \Rightarrow(1,2) \\ x=0\Rightarrow y=-1 \\ \Rightarrow(0,-1) \end{gathered}`

And

`\begin{gathered} y=-3x-7 \\ x=0\Rightarrow y=-7 \\ \Rightarrow(0,-7) \\ x=1\Rightarrow y=-10 \\ \Rightarrow(1,-10) \end{gathered}`

Thus, the graphs are

y=3x-1

y=-3x-7

Graph both lines at the same time, the intersection point is the solution to the system

Thus, the solution is (x,y)=(-1,-4)