

5.2a - Equal values method
Presentation
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Medium
Standards-aligned
David Wishart
Used 75+ times
FREE Resource
8 Slides • 10 Questions
1
5.2a - Equal values method of solving systems of equations

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Equal values method
Use this method when both of your equations are in the form of y=mx+b.
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Take the equations and set them equal to each other and then solve for x.
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Solve for x.
x = 1
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Plug x into one of the original equations to solve for y.
y = 4
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Put the x-value and y-value together into an ordered pair. This is the solution!
x = 1
y = 4
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If you graphed the 2 lines, they would cross at (1,4).
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Multiple Choice
True or false, you can use the Equal Values method to solve this problem?
y=−6x+4
−2x+y=−4True
False
9
Multiple Choice
True or false, you can use the Equal Values method to solve this problem?
y=−6x+4
y=2x−4True
False
10
Multiple Choice
Solve this system of equations for x.
y=−6x+4
y=2x−4x = 0
x = 1
x = 2
11
Multiple Choice
Take your x-value of 1 and plug it into one of these equations to solve for y.
y=−6x+4
y=2x−4y = 0
y = -1
y = -2
12
Multiple Choice
Now that you have your x-value of 1 and your y-value of -2, what is the solution to this system of equations?
y=−6x+4
y=2x−4(1,-2)
(-2,1)
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Multiple Choice
Solve this system of equations for x.
y=4x+4
y=x−2x = 2
x = -2
x = 1
14
Multiple Choice
Take your x-value of -2 and plug it into one of these equations to solve for y.
y=4x+4
y=x−2y = 4
y = 0
y = -4
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Multiple Choice
Now that you have your x-value of -2 and your y-value of -4, put them together in an ordered pair.
y=4x+4
y=x−2(-4,-2)
(-2,-4)
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Special solutions
Sometimes, you will have linear equations that never cross (no solution) or are the same line (infinite solutions).
17
Multiple Choice
What is the solution to this systems of equations?
y=−2x−4
No solution
Infinite solutions
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Multiple Choice
What is the solution to this systems of equations?
y=3x+7
No solution
Infinite solutions
5.2a - Equal values method of solving systems of equations

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