   Chapter 10.5, Problem 36E 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. x + y = 1 and 4 x - 2 y = 1 .

To determine

To find:

The point of intersection of the two lines x+y=1 and 4x-2y=1 using algebra.

Explanation

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

Multiply x+y=1 by 2.

2(x+y)=2×1

2×x 2×y 2

2x 2y 2

Now, add 2x 2y 2 and 4x-2y=1

So,

4x+2x= 2+1

4x+2x= 3

6x= 3

x= 36

x= 12

Now substitute x= 12 in 4x-2y=1

Then,

4

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