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Chapter 5: Q.28 (page 595)

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

-x+3y=3x+3y=3

Short Answer

Expert verified

The solutions to the system of equations arex=0andy=1.

Step by step solution

01

Step 1. Given information.

We have:

-x+3y=3x+3y=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:

-x+3y=3x+3y=3

x-intercept: substitute y=0

-x+3(0)=3x=-3

X-intercept:-3,0

x+3(0)=3x=3

X-intercept: 3,0

y-intercept: substitute y=0

-0+3y=3y=1

Y-intercept: 0,1

0+3y=3y=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 0,1.

Therefore, the solutions are

x=0,y=1

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