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Chapter 4: Q. 2 (page 385)

In the following exercises, determine if the following points are solutions to the given system of equations.

-3x+y=8-x+2y=-9

a鈭�5,鈭�7b鈭�5,7

Short Answer

Expert verified

Part (a) The ordered pair, (-5,-7)is a solution of the system of linear equations.

Part (b) The ordered pair (-5,7)is not a solution to the system of linear equations.

Step by step solution

01

Part (a) Step 1. Given information.

Given the system of equations-3x+y=8-x+2y=-9

02

Part (a) Step 2. Checking the values for the first equation.

Substituting the value in the equation,-3x+y=8, we get,

-3x+y=8-3(-5)+(-7)=815-7=88=8

03

Part (a) Step 3. Checking the values for the second equation. 

Substituting the value, we get

-x+2y=-9-(-5)+2(-7)=-95-14=-9-9=-9

04

Part (b) Step 1. Checking the values for the first equation.

Substituting the values, we get

-3x+y=8-3(-5)+(7)=815+7=822=8

05

Part (b) Step 2. Checking the values for the second equation.

Substituting the values, we get,

-x+2y=-9-(-5)+2(7)=-95+14=-919=-9

06

Part (b) Step 3. Conclusion.

The point -5,7does not satisfy the given system of equations.

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Most popular questions from this chapter

Solve the systems of equations by substitution.

x-3y=-92x+5y=4

Peter is buying office supplies. He is able to buy 3packages of paper and 4staplers for \(40or he

is able to buy 5packages of paper and 6staplers for \)62. How much does a package of paper cost? How much does a stapler cost?

Solve the system by graphing: y=12x-42x-4y=16

Determine whether the ordered pair is a solution to the system x-3y=-8-3x-y=4

  1. (2,-2)
  2. (-2,2)

Solve the system of equations by substitution and explain all your steps in words:

3x+y=12x=y-8
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