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Chapter 5: Q. 40 (page 596)

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

x+3y=4-2x-6y=3

Short Answer

Expert verified

There is no solution of the system of equations.

Step by step solution

01

Step 1. Given information.

We have:

x+3y=4-2x-6y=3

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+3y=4-2x-6y=3

x-intercept: substitute y=0

x+3(0)=4x=4

X-intercept: 4,0

-2x-6y=3x=-32

X-intercept: -32,0

y-intercept: substitute x=0

0+3y=4y=43

Y-intercept: 0,43

-2(0)-6y=3y=-12

Y-intercept:0,-12

03

Step 3. Use the intercept to draw the graph.  

Graph the line and find the intersection point:

The lines are parallel to each other.

Therefore, there is no intersection point.

Hence, no solution.

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