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Writing and Graphing Systems of Linear Equations

Last updated about 5 years ago

6 questions

Note from the author:

Solving Systems of Linear Equations

1

The knitting club sold 40 scarves and hats at a winter festival and made $700 from the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats sold, which system of equations represents the constraints in this situation?

1

Here are two equations:

Decide whether (3,4) is a solution to one equation, both equations, or neither of the equations.

1

Here are two equations:

Decide whether (4,2.5) is a solution to one equation, both equations, or neither of the equations.

1

Here are two equations:

Decide whether (5,5) is a solution to one equation, both equations, or neither of the equations.

1

Here are two equations:

Decide whether (3,2) is a solution to one equation, both equations, or neither of the equations.

2

Explain how you know (5,-4) is a solution to the system of equations: