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Chapter 5: Q. 32 (page 595)

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

-2x+y=2y=4

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:

-2x+y=2y=4

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+y=2y=4

x-intercept: substitute y=0

-2x+0=2x=-1

X-intercept:-1,0

y-intercept: substitute x=0

-2(0)+y=2y=2

Y-intercept:0,2

03

Step 3. Use the intercept to draw the graph.   

Graph the line and find the intersection point:

The lines intersect at 1,4.

Therefore, the solutions arex=1,y=4.

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