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Chapter 5: Q. 23 (page 595)

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

x+y=2x-y=0

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

We have:

x+y=2x-y=0

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=2x-y=0

x-intercept: substitute y=0

x+0=2x=2

X-intercept:2,0

x-0=0x=0

X-intercept: 0,0

y-intercept: substitute x=0

0+y=2y=2

Y-intercept: 0,2

0-y=0y=0

Y-intercept:0,0

03

Step 3. Use the intercept to draw the graph.   

Graph the line and find the intersection point:

The lines intersect at 1,1.

Therefore, the solutions are

x=1,y=1

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