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Chapter 5: Q. 31 (page 595)

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

2x+3y=6y=-2

Short Answer

Expert verified

The solutions to the system of equations arex=6andy=-2.

Step by step solution

01

Step 1. Given information.

We have:

2x+3y=6y=-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:

2x+3y=6y=-2

x-intercept: substitute localid="1647673207049" y=0

2x+3(0)=6x=3

X-intercept: 3,0

y-intercept: substitutey=0

2(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 6,-2.

Therefore, the solutions are:

x=6,y=-2

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