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Chapter 5: Q. 33 (page 596)

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

x-3y=-3y=2

Short Answer

Expert verified

The solutions to the system of equations arex=3andy=2.

Step by step solution

01

Step 1. Given information.

We have:

x-3y=-3y=2

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-3y=-3y=2

x-intercept: substitute y=0

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

X-intercept: -3,0

y-intercept: substitute x=0

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 3,2.

Therefore, the solutions are:

x=3,y=2

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