Graph the system of equations on your graph paper to answer the question. {y=x+2y=−x+8 what is the solution for this system of equations? enter your answer in the boxes.

using a graphical tool
 the solution is (3,5)  see the attached figure

y=x+2
y=-x+8

ANSWER



EXPLANATION

The given systems of equations are;



and



To graph the first function, which is



We need at least two points.

Let us use the intercepts.

At y-intercepts, x=0,

This implies that,



The y-intercept is,



At x-intercept, y=0.

This implies that,




The x-intercept is



We plot the intercepts and draw a straight line through them to obtain the blue line on the graph in the attachment.

We repeat the same process for



to obtain the y-intercept to be,



and the x-intercept to be,



We plot this one also on the the same graph to obtain the straight line in red.

The intersection of the two straight lines is



This the solution to the system of equations.