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Chapter 5: Q. 35 (page 596)

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

2x-y=-1x=1

Short Answer

Expert verified

The solutions to the system of equations are x=1andy=3.

Step by step solution

01

Step 1. Given information.

We have:

2x-y=-1x=1

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:

2x-y=-1x=1

x-intercept: substitute y=0

2x-0=-1x=-0.5

X-intercept: -0.5,0

y-intercept: substitute x=0

2(0)-y=-1y=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 1,3.

Therefore, the solutions are

x=1,y=3

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