   Chapter 10.5, Problem 35E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
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# 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 = 11 and 3 x + 2 y = 16 .

To determine

To find:

The point of intersection of the two lines 2x+y=11 and 3x+2y=16 using algebra.

Explanation

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

Multiply 2x+y=11 by 2.

2(2x+y)=2×11

2×2x 2×y 22

4x 2y 22

Now, subtract 3x+2y=16 from 4x 2y 22

So,

4x-3x= 22-16

4x-3x= 6

x= 6

Now substitute x=6 in 3x+2y=16

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