   Chapter 10.5, Problem 33E 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 + y = 8 and 3 x - y = 7 .

To determine

To find:

The point of intersection of the two lines 2x+y=8 and 3x-y=7 using algebra.

Explanation

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

Add the given equations, 2x+y=8 and 3x-y=7.

The resultant equation is 5x=15.

Then,

x=155

x=3

Now substitute x=3 in 2x+y=8,

Then,

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