   Chapter 10.5, Problem 38E 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. 5 x - 2 y = - 13 and 3 x + 5 y = 17 .

To determine

To find:

The point of intersection of the two lines 3x+5y=17 and 5x-2y=-13 using algebra.

Explanation

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

Multiply 3x+5y=17 by 2.

2(3x+5y)=2×17

2×3x 2×5y 34

6x 10y 34

Multiply 5x-2y=-13 by 5.

5(5x-2y)=5×-13

5×5x 5×2y -65

25x 10y -65

Now, add 25x 10y -65 and 6x 10y 34

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