   Chapter 10.CR, Problem 21CR ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

#### Solutions

Chapter
Section ### Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

# In Review Exercises 21 and 22, find the intersection of the graphs of the two equations by graphing. 4 x - 3 y = - 3 x + 2 y = 13

To determine

To find:

The point of intersection of the two lines 4x-3y=-3 and x+2y=13 using graph.

Explanation

The slope m and the y intercept b of a line y=mx+b are used to graph the given equations.

Rearrange 4x-3y=-3 into y=mx+b as follows,

Move 4x to the right side of the equation.

So,

-3y=-4x-3

y=-4x-3-3

y=-4x-3+-3-3

y=43x+1

The graph of y=43x+1 is a line with y-intercept b=1 and slope m=43

Rearrange x+2y=13 into y=mx+b as follows,

Move x to the right side of the equation.

So,

2y=-x+13

y=-x+132

y=-x2+132

y=-12x+132

y=-12x+132

The graph of y=-12x+132 is a line with y-intercept b=132 and slope m=-12

To draw a graph,

Substitute x=0 in the given equation 4x-3y=-3,

40-3y=-3

-3y=-3

Divide both sides by -3,

-3y-3=-3-3

y=1

Thus the first point is 0, 1

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

## Additional Math Solutions

#### Sketch the graphs of the equations in Exercises 512. 2y+x=1

Finite Mathematics and Applied Calculus (MindTap Course List)

#### Evaluate limx(x+2)1/xx1/x(x+3)1/xx1/x

Single Variable Calculus: Early Transcendentals

#### The graph of is: a) b) c) d)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 