Solving Systems of Linear Equations by Graphing and Substitution
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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Solve the system of linear equations by graphing { x+y=2, x-y=0 | The solution of the system is (1,1).
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Solve the system of linear equations by graphing { 5x-y=6, 2x+y=8 | The solution of the system is (2,4).
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Solve the system of linear equations by graphing {x+y=5, x+y=6 | There is no solution.
(The slopes are the same, but the y-intercepts are different, resulting in 2 parallel lines).
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Solve the system of linear equations by graphing {x=-5, y=8 | The solution of the system is (-5,8).
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Solve the system of linear equations by graphing {y-5x=-2, 1-x-2y=4 | Since both lines are identical, there are infinitely many solutions.
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If two lines intersect at one point, how many solutions does the system have? | One solution.
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If two lines are parallel, how many solutions does the system have? | There is no solution.
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If two lines are identical, how many solutions does the system have? | Infinite number of solutions
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Solve the system of equations using the substitution method. {x+y=4, x=3y | The solution of the system is (3,1).
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Solve the system of equations using the substitution method. {3x+2y=13, x=2y-1 | The solution of the system is (3,2).
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
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Created by:
ryanmsabo
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