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Chapter 5: Q. 22 (page 595)

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

x-y=22x-y=6

Short Answer

Expert verified

The solutions to the system of equations arex=4andy=2.

Step by step solution

01

Step 1. Given information.

We have:

x-y=22x-y=6

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-y=22x-y=6

x-intercept: substitute role="math" localid="1647623519744" y=0

x-0=2x=2

X-intercept: 2,0

2x-0=6x=3

X-intercept: 3,0

y-intercept: substitute x=0

0-y=2y=-2

Y-intercept: 0,-2

2(0)-y=6y=-6

Y-intercept:0,-6

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines intersect at 4,2.

Therefore, the solutions are:

x=4,y=2

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