   Chapter 10.5, Problem 32E 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 Exercises 27 to 32, use graphing to find the point of intersection of the two lines. Use Example 8 as a guide. 2 x + 3 y = 3 and 3 x - 2 y = 24 .

To determine

Find the point of intersection of the two lines 2x+3y=3 and 3x-2y=24 using graphs.

Explanation

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

Rearrange 2x+3y=3 into y=mx+b as follows,

Move 2x to the right side of the equation.

So,

3y=-2x+3

y=-2x+33

y=-2x3+33

y=-23x+1

The graph of y=-23x+1 is a line with y-intercept b=1 and slope m=-23

Rearrange 3x-2y=24 into y=mx+b as follows,

Move 3x to the right side of the equation

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