Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 12

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6-2 Substitution
The solution is (1, 1).
3x + 4y = 3
x + 2y = 1
3x + 4y = 3
x + 2y = 1
First, solve the second equation for x to get x = 2y
1. Then, substitute 2y
1 for x in the first equation.
Use the solution for y and either equation to find x.
The solution is ( 1, 0).
y = 3x + 4
6x
2y = 8
y = 3x + 4
6x
2y = 8
Substitute 3x + 4 for y in the second equation.
This equation is an identity. So, there are infinitely many solutions.
1 = 2x y
8x
4y = 4
Page 12
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1 = 2x y
8x
4y = 4

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