Download Name: Date: School: Facilitator: 1.02 Solving Systems of Linear

Name:
Date:
School:
Facilitator:
1.02 Solving Systems of Linear Equations by Substitution
Solve each system of equations by using substitution.
1.
x + 4y = 3
2x - 3y = 17
2.
3x - 4y = 0
2x + y = 33
3.
x-y=5
x + 2y = 14
4. Juan and Alex are both saving money for college. Juan saves $150 per month and currently has $2000
in the bank. Alex saves $250 per month and has only $1000 in the bank. Not counting the interest they
will earn, how many months will it take until both boys have saved the same amount of money?
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
Let m represent the # of months it takes Juan and Alex to save the same amount of money
Let A represent the amount of money they will have after m months.
a. Write an equation for the amount of money Juan will have after m months.
b. Write an equation for the amount of money Alex will have after m months.
c. Solve the two equations to determine the number on months it will take them to save the same
amount of money. Your solution will be (m,A).
5. Kareem is going to Florida. The cost for two different vacation packages is shown below.
FLORIDA VACATION PACKAGES
Package
A
B
Roundtrip Airfare Cost
$150
$210
Hotel Cost (per night)
$55
$40
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Let h = Hotel Cost
Let C = Cost of package
a. Write a system of two equations that could be used to find out the price of package A and
package B.
b. How many nights would Kareem need to stay in a hotel to pay the same amount for either
vacation package?