Substitution Worksheet With Answer Key - Waynesville R-Vi School District Page 18
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386-2 Substitution
The solution is (2, 0).
5x + 4y = 20
10x
8y = 40
5x + 4y = 20
10x
8y = 40
First, solve the first equation for y.
Then, substitute
for y in the second equation.
This equation is an identity. So, there are infinitely many solutions.
In 2000, the demand for nurses was 2,000,000, while the supply was only 1,890,000. The projected
demand for nurses in 2020 is 2,810,414, while the supply is only projected to be 2,001,998.
a. Define the variables, and write equations to represent these situations.
b. Use substitution to determine during which year the supply of nurses was equal to the demand.
a. Let x = number of years since 2000, and let y = the number of nurses. Find the slope for the supply and the
demand.
Page 18
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