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Chapter 5: Q. 34 (page 596)

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

2x-2y=8y=-3

Short Answer

Expert verified

The solutions to the system of equations arex=1andy=-3.

Step by step solution

01

Step 1. Given information.

We have:

2x-2y=8y=-3

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:

2x-2y=8y=-3

x-intercept: substitute y=0

2x-2(0)=8x=4

X-intercept: 4,0

y-intercept: substitute x=0

2(0)-2y=8y=-4

Y-intercept:0,-4

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines intersect 1,-3.

Therefore, the solutions arex=1,y=-3.

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