Question

Solve the system of equations by graphing.

$\begin{array}{c}7y-2x=10\\ -3y+x=-3\end{array}$

Short answer

The solution of the equation is $x=9$ and$y=4$.

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 $7y-2x=10$ and$-3y+x=10$.

The point which satisfies the equation $7y-2x=10$ are $(0,\frac{10}{7})$ and$(-5,0)$.

The point which satisfies the equation $-3y+x=-3$ are $(0,1)$ and$(-3,0)$.

Step-4 –Plotting the graph

The two linear equations intersect at $(9,4)$ in the graph.