Question

Solve the system of equations by graphing.

$\begin{array}{c}3x-5y=-13\\ 4x+2y=0\end{array}$

Short answer

The solution of the equations is $x=-1$ and$y=2$.

Step-by-step solution

Step-1 – Concept of solution of linear equations

The solution of the equation is the point where the two line intersect the graph.

Step-2 – Concept of plotting the graph of linear equation

The linear equation can be plotted in the graph by taking at least two points which satisfies the linear equations.

Step-3 – Evaluation of points

The given linear equations are $3x-5y=-13$ and$4x+2y=0$.

The point which satisfies the linear equations $3x-5y=-13$ are $(-1,2)$ and$(-6,-1)$.

The point which satisfies the linear equations $4x+2y=0$ are $(0,0)$ and$(-1,2)$.

Step-4 –Plotting the graph

The two linear equations intersect at$(-1,2)$ in the graph.