   Chapter 10.5, Problem 37E 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 33 to 38, use algebra to find the point of intersection of the two lines whose equations are provided.Use Example 7 as a guide. 2 x + 3 y = 4 and 3 x - 4 y = 23 .

To determine

To find:

The point of intersection of the two lines 2x+3y=4 and 3x-4y=23 using algebra.

Explanation

The point of intersection of two lines is found by using Addition or Subtraction property of Equality.

Multiply 2x+3y=4 by 4.

4(2x+3y)=4×4

4×2x 4×3y 16

8x 12y 16

Multiply 3x-4y=23 by 3.

3(3x-4y)=3×23

3×3x 3×4y 69

9x 12y 69

Now, add 9x 12y 69 and 8x 12y 16

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