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Solving Systems of Linear Equations by Graphing and Substitution

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Question
Answer
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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Created by: ryanmsabo
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