Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 15

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6-2 Substitution
The solution is (2, 3).
y = 3x + 1
2x + y = 1
y = 3x + 1
2x + y = 1
Substitute 3x + 1 for y in the second equation.
Use the solution for x and either equation to find y.
The solution is (0, 1).
3x + y = 5
6x + 2y = 10
3x + y = 5
6x + 2y = 10
First, solve the first equation for y to get y = 3x 5. Then substitute 3x 5 for y in the second equation.
Since the left side does not equal the right, there is no solution to this system of equations.
5x y = 5
x + 3y = 13
5x y = 5
x + 3y = 13
Page 15
eSolutions Manual - Powered by Cognero
First, solve the second equation for x to get x = 3y
13. Then substitute 3y
13 for x in first equation.

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