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Chapter 5: Q. 37 (page 596)

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

x-3y=-6x=-3

Short Answer

Expert verified

The solutions to the system of equations arex=-3andy=1.

Step by step solution

01

Step 1. Given information.

We have:

x-3y=-6x=-3

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=-6x=-3

x-intercept: substitute role="math" localid="1647756598808" y=0

x-3(0)=-6x=-6

X-intercept: -6,0

y-intercept: substitute x=0

0-3y=-6y=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 -3,1.

Therefore, the solutions are:

x=-3,y=1

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