Algebra 2/Trig
Chapter 3 Review
Name___________________
1) Solve by Linear Combinations
2) Solve by Substitution
5x – 8y = 47
2x + 7y = -22
x – 3y = 13
5x + 3y = 11
3) Solve by Graphing
2x – 3y = 12
y = –2x +4
solution: ____________
4) Solve the following systems using any method.
a) 3x + y = 7
4x + 2y = 16
b) 3x – 2y = 1
2x – 3y = 9
c) 2x – y = 7
6x – 3y = 14
d) x + 3y = 2
4x + 12y = 8
e) 5x + 2y = 12
-6x – 2y = -14
f) 7x + 2y = -1
4x – 3y = -13
5) Solve problem by linear combinations
3x – 2y + 5z = -1
4x + 3y – 2z = -13
2x + 5y – 4z = -9
6) Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of
$315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks
now cost $6 a pair and the shorts cost $18. How many pairs of socks and shorts did the team buy each
year?