Question

graph each system of equations to find its solution. then, prove that the caution is true In a check by substituting it into both equations. be sure to show all work

Answer 1

The solution to a system of linear equations is the point at which the lines representing the linear equations intersect, let's graph to determine the solution:

As we can see on the graph, the lines intersect on (5, 2). Now, let's check substituing into the equations:

$\begin{gathered} \text{Subtituing y=2, into the first equation:} \\ 2=x-3 \\ x=2+3 \\ x=5 \end{gathered}$

So, the solution is correct.