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Chapter 5: Q. 24 (page 595)

In the following exercises, solve the following systems of equations by graphing.

x+y=6x-y=-8

Short Answer

Expert verified

The solutions to the system of equations arex=-1andy=7.

Step by step solution

01

Step 1. Given information.

We have:

x+y=6x-y=-8

02

Step 2. Find the intercepts.      

We will find the x-intercept and y-intercept of both equations and use them to graph the lines.

The system of equations are:

x+y=6x-y=-8

x-intercept: substitute y=0

x+0=6x=6

X-intercept: 6,0

x-0=-8x=-8

X-intercept: -8,0

y-intercept: substitute x=0

0+y=6y=6

Y-intercept: 0,6

0-y=-8y=8

Y-intercept:role="math" localid="1647624842001" 0,8

03

Step 3. Use the intercept to draw the graph.    

Graph the line and find the intersection point:

The lines intersect at -1,7.

Therefore, the solution are:

x=-1,y=7

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