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The learner will solve systems of two equations in two unknowns.

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Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$2x-3y=15$

$3x+3y=40$

$\left ( 55,-\frac{125}{3}\right )$
$\left ( 6,1\right )$
$\left ( 11,\frac{7}{3}\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$2x+y=15$

$x=y+45$

$\left ( -3,21\right )$
$\left ( 20,-25\right )$
$\left ( -30,75\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$2x-y=-10$

$8x-4y=-16$

$\left ( 24,58\right )$
$\left ( 4,18\right )$
$\left ( -3,-2\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$y=10-2x$

$3x-2y=15$

$\left ( 0,10\right )$
$\left ( 5,0\right )$
$\left ( -35,80\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$y-6x=5$

$3y-18x=15$

$\left ( 0,5\right )$
$\left ( -\frac{5}{6},0\right )$
$\left ( 1,11\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$4x+3y=32$

$2x-7y=-18$

$\left ( 2,8\right )$
$\left ( -16,2\right )$
$\left ( 5,4\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$y=3x+2$

$6x-2y=-4$

$\left ( -4,-10\right )$
$\left ( 0,2\right )$
$\left ( 4,14\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$6x+3y=24$

$5x-2y=38$

$\left ( 4,0\right )$
$\left ( 6,-4\right )$
$\left ( 22,-36\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$9x+4y=10$

$7x+5y=21$

$\left ( 3,0\right )$
$\left ( -2,7\right )$
$\left ( 2,-2\right )$
There is an infinite number of solutions.
There are no solutions.

Question 1 of 10

Systems of Linear Equations: Two Equations in Two Unknowns

Solve the following system of equations.

$2x+3y=7$

$y=-\frac{2}{3}x+15$

$\left ( -38,-\frac{31}{3}\right )$
$\left ( 3,13\right )$
$\left ( 2,1\right )$
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: Two Equations in Two Unknowns by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.