Question

Solve the system of equations by graphing.

$\begin{array}{c}x+y=4\\ x-y=8.5\end{array}$

Short answer

The solution of the equation is $x=6.25$ and$y=-2.25$.

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 $x+y=4$and$x-y=8.5$.

The point which satisfies the linear equation $x+y=4$are $(0,4)$and$(4,0)$.

The point which satisfies the linear equation $x-y=8.5$are $(0,-8.5)$and$(8.5,0)$.

Step-4 –Plotting the graph

The two linear equations intersect at $(6.25,-2.25)$ in the graph.