Step 1. We need to graph the two equations, for this, we can use any graphing software. In this case, the graph of the first equation y=-x+7 is shown in red in the following image:
Step 2. Also, graph the second equation on the same graph.
The graph of the equation y= ½ x - 2 is shown in green in the following diagram:
Step 3. Once we have both equations graphed, we need to find the point where they intersect.
That point of intersection is shown as a black point in the following image:
As you can see, that point is:
And this represents the solution of the system of equations (6,1), where the value of x is 6 and the value of y is 1.
Answer:
(6, 1) ---> x=6 and y=1