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Chapter 5: Q. 25 (page 595)

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

x+y=-5x-y=3

Short Answer

Expert verified

The solutions to the system of equations arex=-1andy=-4.

Step by step solution

01

Step 1. Given information.

We have:

x+y=-5x-y=3

02

Step 2. Find the intercepts.    

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

The system of equations are:

x+y=-5x-y=3

x-intercept: substitute y=0

x+0=-5x=-5

X-intercept: -5,0

x-0=3x=3

X-intercept:3,0

y-intercept: substitute x=0

0+y=3y=3

Y-intercept:0,3

0-y=3y=-3

Y-intercept:0,-3

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines intersect are -1,-4.

Therefore, the solutions are:

x=-1,y=-4

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