1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7

The solution of the equation is and

Explanation:

The equations are and

First we shall solve the equation graphically.

The image of the graph is attached below.

This contains the solution to the system of equations.

The equations and are plotted on the graph.

The intersection of these two equations are the solutions of the system of equations.

Thus, the intersection of the two equations are and

Now, we shall solve the equation algebraically.

Let us solve the equation using substitution method.

Let us substitute in , we get,

Adding both sides by 2x, we have,

Adding both sides by 2, we get,

Dividing both sides by 3,

Thus, the value of x is 3.

Substituting in , we get,

Thus, the value of y is 1.

Hence, The solution of the equation is and

the anwser is x< -17/2