Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 5

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6-2 Substitution
This equation is an identity. So, there are infinitely many solutions.
2x y = 6
3y = 6x + 18
2x y = 6
3y = 6x + 18
First, solve the first equation for y to get 2x
6 = y. Then substitute 2x
6 for y in the second equation.
This equation is an identity. So, there are infinitely many solutions.
The sum of the measures of angles X and Y
X
measure of angle Y.
a. Define the variables, and write equations for this situation.
b. Find the measure of each angle.
a. Let x = m X, and y = m
Y; The sum means to add so the first equation is x + y = 180. Greater than means
addition as well, so the second equation is x = 24 + y.
b. x + y = 180
x = 24 + y
Substitute the second equation into the first equation.
Use the solution for y and either equation to find x.
Page 5
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So, m X
m
Y

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