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Chapter 5: Q 5.12. (page 586)

Solve each system by graphing:

x=43x-2y=24

Short Answer

Expert verified

The solution is(4,-6)

Step by step solution

01

Step 1. Given information 

The system of equations is

x=43x-2y=24

02

Step 2. Find the x and y-intercept of both equations.

First equation:

x=4

Since this is a vertical line

So, the y-intercept does not exist

Second equation:

3x-2y=24

Find x-intercept

3x-2脳0=243x=243x3=243x=8

So, the x-intercept is(8,0)

Find y-intercept

3脳0-2y=24-2y=24-2y-2=24-2y=-12

So, the y-intercept is(0,-12)

03

Step 3. Graph the two lines.

First equation:

Sketch the vertical line of x=4

Second equation:

Locate points (8,0),(0,-12)on the graph and then join them to get the line.

So, the graph is

04

Step 4. Determine the point of intersection.

The graph is

Since the intersection point is(4,-6)

So, the solution is(4,-6)

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