Question

The system of equations may be solved by hand calculation or by using the crossing-graphs method.Solve the following system using the crossing-graphs method.2x - y = 04x + 2y = 48(x, y) = (_____,_____)

Answer 1

The first thing you can do is graph each of the equations. To do this, you can write the equations following the form

`y=mx+b`

Where m is the slope of the line and b the intersection point with the y axis. Then

`\begin{gathered} 2x-y=0 \\ 2x=y \\ y=2x \\ \text{ And the other equation} \\ 4x+2y=48\text{ } \\ \text{To simplify the equation, you can divide by 2 both sides of the equation} \\ 2x+y=24 \\ y=-2x+24 \end{gathered}`

Graphing you have

The solution of the system of equations will be the point at which both lines intersect. Therefore, the solution is (6,2).