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Chapter 5: Q. 21 (page 595)

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

x+y=52x-y=4

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+y=52x-y=4

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+y=52x-y=4

x-intercept: substitute y=0

x+0=5x=0

X-intercept: role="math" localid="1647622844520" 5,0

2x-0=4x=2

X-intercept: 2,0

y-intercept: substitute x=0

0+y=5y=5

Y-intercept: 0,5

2(0)-y=4y=-4

Y-intercept:0,-4

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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