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Chapter 5: Q. 36 (page 596)

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

x+2y=2x=-2

Short Answer

Expert verified

The solutions to the system of equations arex=-2andy=2.

Step by step solution

01

Step 1. Given information.

We have:

x+2y=2x=-2

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+2y=2x=-2

x-intercept: substitute y=0

x+2(0)=2x=2

X-intercept: 2,0

y-intercept: substitute x=0

0+2y=2y=1

Y-intercept:0,1

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines intersect at -2,2.

Therefore, the solutions are:

x=-2,y=2

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