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Chapter 5: Q. 38 (page 596)

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

x+y=4x=1

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

We have:

x+y=4x=1

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=4x=1

x-intercept: substitute y=0

x+0=4x=4

X-intercept: 4,0

y-intercept: substitute x=0

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 1,3.

Therefore, the solutions are

x=1,y=3

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