Algebra and Trigonometry: Structure and Method, Book 2
Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 3.2, Problem 27WE
To determine

To graph: The given pair of equations, then to find their point of intersection and to verify by substitution that the coordinates satisfy both equations.

Expert Solution & Answer
Check Mark

Answer to Problem 27WE

The graphs intersect at the point (5,2) and these coordinates satisfy both equations.

Explanation of Solution

Given information: Given pair of equations is: 2x+5y=02x+y=8

Graph:

First equation is: 2x+5y=0

  x02.5y01

So the graph of 2x+5y=0 passes through (0,0)and(2.5,1) .

Second equation is: 2x+y=8

  x24y40

So the graph of 2x+y=8 passes through (0,8)and(4,0) .

Thus, the graphs are:

  Algebra and Trigonometry: Structure and Method, Book 2, Chapter 3.2, Problem 27WE

Interpretation:

The graphs intersect at the point (5,2) .

Verification:

Putting x=5,y=2 in 2x+5y=0 ,

  2(5)+5(2)=01010=00=0

which is true.

Putting x=5,y=2 in 2x+y=8 ,

  2(5)2=88=8

which is true.

Thus, the coordinates satisfy both equations.

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

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