
5.2b Basic Substitution for system of equations
Presentation
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
Standards-aligned

Steve Ramp
Used 45+ times
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3 Slides • 7 Questions
1
5.2b Basic Substitution for system of equations
2
Substitution means to replace a variable with something that is equal to it.
3x + 2y = 2
y = 4
Replace the "y" in the first equation with 4
3x + 2(4) =2
Now solve for x: 3x + 8 = 2
3x = -6
x = -2
3
Multiple Choice
Solve for 'x' if y = -2
4x - 5y = 22
x = 8
x = -8
x = -3
x = 3
4
Multiple Choice
Find "y" if x = -4 in the equation below.
2x - 6y = 4
y = -2
y = 2
y = 4
y = -4
5
Multiple Choice
Solve for "x" and "y" if y = 2x in the equation below:
-4x + 5y = -12
(2, 4)
(-2, 4)
(2, -4)
(-2, -4)
6
Solving a system by basic substitution is done the same way.
Given two equations:
3x - 4y = 6
and y = -3
Subititute the value of y into the first equation
3x - 4(-3) = 6 and solve for x
Express the answer in an ordered pair: (-2, -3)
7
Multiple Choice
Solve the following system of equations by substitution:
3x - y = -7
y = -2
(3, -2)
(-3. -2)
(-2, 3)
-2, -3)
8
Multiple Choice
Solve the following system by substitution:
-5x - 4y = 6
x = 2
(2, -4)
(2, 4)
(-4, 2)
4, 2)
9
Multiple Choice
Solve the following system by substitution:
-7x - 3y = 4
y = -2x
(4, 8)
(4, -8)
(-4, 8)
(-4, -8)
10
Multiple Choice
Solve the following system by substitution:
-4x + 9y = -6
x = 3y
(6, 2)
(6, -2)
(-6, 2)
(-6, -2)
5.2b Basic Substitution for system of equations
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