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The learner will determine the number of solutions to a system of two linear equations and two unknowns.

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Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$\frac{2}{5}x-4y=1$

$y=2x-13$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$-2x+5y=7$

$6x-15y=-21$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$x=\frac{3}{7}y+\frac{11}{14}$

$3y-14x=-11$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$6y=2-9x$

$36x=8-24y$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$x+y=22$

$-x+y=4$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$4x-3y=1$

$8x-6y=7$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$4y=3x-6$

$2y=\frac{3}{2}x-3$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$y=\frac{3}{11}x+\frac{1}{2}$

$x=\frac{11}{3}y-\frac{3}{22}$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$\frac{3}{2}x-\frac{1}{6}y=\frac{7}{5}$

$\frac{1}{15}y-\frac{3}{5}x=-\frac{14}{25}$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Determine the number of solutions to the following system of linear equations.

$11x=4-3y$

$77x=12-21y$

There is one unique solution.
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Author

Wade Wells

Published: 6/18/2014

Last Updated: 6/18/2014

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Systems of Linear Equations: Determining the Number of Solutions by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There is an infinite number of solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There is an infinite number of solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There is an infinite number of solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There is an infinite number of solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There is one unique solution.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Correct!

Correct Answer

There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Incorrect

Your Answer

Correct Answer

There are no solutions.

Question 1 of 10

Systems of Linear Equations: Determining the Number of Solutions

Question 1 of 10