5.9 Systems of Linear Equations in Two Variables

Finding the point two lines share by graphing, substitution, or elimination, and recognizing parallel and coincident cases with no or many solutions.

Contemporary Mathematics, 5.9 Systems of Linear Equations in Two Variables

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5 exercises

5.9 Exercise 1

Determine whether the ordered pair is a solution to the system.

$\left(- 2 , - 1\right)$
$\left(- 4 , - 3\right)$

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5.9 Exercise 3

Determine whether the ordered pair is a solution to the system

$\left(- 4 , - 5\right)$
$\left(- 4 , 5\right)$

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5.9 Exercise 7

Solve this system of linear equations by substitution:

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5.9 Exercise 9

Solve this system of linear equations by elimination:

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5.9 Exercise 15

Heather has been offered two options for her salary as a trainer at the gym. Option A would pay her $25,000 a year plus $15 for each training session. Option B would pay her $10,000 a year plus $40 for each training session. How many training sessions would make the salary options equal?

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