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Systems of Equations
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When solving a system of equations with substitution, your variables cancel out and you are left with -3 = -3. What is your solution?
Infinite Solutions
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When solving a system of equations with substitution, your variables cancel out and you are left with -5 = 5. What is your solution?
No solution
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How many solutions does the system have?
Infinite
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Solve for x in the following system. y=x-5 and x-7y=-1
x = 6
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Solve for y in the following system. 3x-5y=-12 and y=-x-4
y = 0
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Solve for x in the following system. x=4y and x+2y=12
x = 8
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How many solutions does the system have?
No Solution
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How many solutions does the system have?
One Solution
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Is the point (-1, -2) a solution to the system? x=4y+7 and 2x-6y=12
No
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How should be write our final answers for a solution to the system?
Ordered Pair (x,y)
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Solve for y in the following system. 2x-5y=-22 and x+7y=27
y = 4
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Is the point (-7, 2) a solution to the system? y=x+9 and 3x+8y=-5
Yes
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Solve the system of equations by substitution. 5x-4y=18 and x+y=-9
(-2,-7)
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Which equation would you rearrange in the system to solve by substitution? What does the equation look like when rearranged? 2x+y=-8 and 3x-5y=-25
First equation, y=-2x-8
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Solve the system of equations by substitution. x+y=15 and 4x+4y=10
No Solution
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What is the solution?
(1, -1)
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