Question

Solve the system of equations by graphing.

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

Short answer

The solution of the equation is$x=3,y=2$.

Step-by-step solution

Step-1 – Concept of solution of linear equations

The solution of the equations is the point where the two lines intersect in 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 equation.

Step-3 – Evaluation of points

The given linear equations are $x+y=5$and $2x-y=4$

The point which satisfies the equation $x+y=5$are $(0,5)$and$(5,0)$.

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

Step-4 –Plotting the graph

The two linear equations intersect at $(3,2)$in the graph.