Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 4
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386-2 Substitution
The solution is (2, 0).
2x + 3y = 4
4x + 6y = 9
2x + 3y = 4
4x + 6y = 9
First, solve the first equation for x.
Then substitute
for x in the second equation.
Since the left side does not equal the right, there is no solution to this system of equations.
x y = 1
3x = 3y + 3
x y = 1
3x = 3y + 3
First, solve the first equation for x to get x = y + 1. Then substitute y + 1 for x in the second equation.
This equation is an identity. So, there are infinitely many solutions.
2x y = 6
3y = 6x + 18
2x y = 6
Page 4
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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.
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