Chapter 4, Problem 1RE

To determine

To solve: The system of equations $2x-y=4\text{ and }x-2y=-4$ by graphing.

Answer to Problem 1RE

The solution of the equations $2x-y=4\text{ and }x-2y=-4$ is $x=4,y=4$.

Explanation of Solution

The given equations are $2x-y=4\text{ and }x-2y=-4$.

The graph of the lines $2x-y=4\text{ and }x-2y=-4$ is shown below in Figure 1.

From Figure 1, it is observed that the lines $2x-y=4\text{ and }x-2y=-4$ intersect at $\left(4,4\right)$.

Thus, the solution is $x=4,y=4$.