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Chapter 5: Q. 39 (page 596)

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

4x-3y=88x-6y=14

Short Answer

Expert verified

There is no solution of the system of equations.

Step by step solution

01

Step 1. Given information.

We have:

4x-3y=88x-6y=14

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:

4x-3y=88x-6y=14

x-intercept: substitute y=0

4x-3(0)=8x=2

X-intercept: 2,0

8x-6(0)=14x=74

X-intercept: 74,0

y-intercept: substitute x=0

4(0)-3y=8y=-83

Y-intercept: 0,-83

8(0)-6y=14y=-73

Y-intercept:0,-73

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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