# 3.2 Solve by Substitution

```Algebra 2
Name___________________________________ ID: 1
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3.2 Solve by Substitution
Date________________ Period____
Solve each system by substitution.
1) y = 2x - 17
y = -2x + 15
2) y = 7x - 15
y=x+3
3) y = 7x - 8
y = -7x + 20
4) y = 8x - 5
y = -5x - 5
5) 3x - 2 y = 12
y=3
6) -4x + 4 y = 8
y = 4x + 5
7) -2x + 6 y = 4
y = -3x + 24
8) y = 2x + 22
-4x - 5 y = -12
9) Two classmates, Vera and Alec, plan to meet in the computer lab to type up their research papers.
Vera can type at a speed of 1 page per hour, whereas Alec can type 3 pages per hour. So far, Vera
already has 9 pages typed up, compared to Alec's 7 pages. Once they sit down and start typing
together, the two students will reach the same page count before too long. How long will that take?
What will the page count be?
10) Leo and his little sister are saving up money to buy a joint birthday present for their mother. Leo
already has \$23 saved and plans to save \$17 per week from his allowance. His sister has \$25 saved
so far and will save \$16 per week from hers. The two siblings will soon have saved the same amount
towards their mother's gift. How long will that take? How much will each one have saved?
Worksheet by Kuta Software LLC
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```
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