Question

Solve the system of equations by graphing.

$\begin{array}{c}2x-3y=9\\ 4x+2y=-22\end{array}$

Short answer

The solution of the equation is $x=-3$ and$y=-5$.

Step-by-step solution

Step-1 – Concept of solution of linear equations

The solution of the equations 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 equation is $2x-3y=9$and$4x+2y=-22$.

The point which satisfies the equation $2x-3y=9$are $(0,-3)$and$(4.5,0)$.

The point which satisfies the equation$4x+2y=-22$are$(0,-11)$and$(-5.5,0)$.

Step-4 –Plotting the graph

The two linear equations intersect at $(-3,-5)$ in the graph.