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WIR Math 166copyright Joe Kahlig, 05B
Page 1
Week in Review # 2
Section 2.1 Systems of linear equations.
•
Intersection of two line.
•
one solution, no solution, inﬁnitely many solutions.
•
Setting up word problems.
•
Deﬁne the variables.
1. Solve the system of equations.
5
x
4
+
y
4
=1
x
3

y
2
=
5
6
2. For what value(s) of k will the system of equations have exactly one solution?

2
x
+3
y
=9
kx

2
y
=

6
3. Set up the system of equations. Do not solve.
Seven hundred tickets were sold for a performance of a play. The tickets cost $6 for
seniors, $8 for adults, and $3.5 for children. The total receipt for the performance was
$3,512.50. If three times as many children as adults attend the play, how many of each
ticket were sold?
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Page 2
4. Set up the system of equations. Do not solve.
An airline is considering the purchase of eleven aircraft to meet an estimated demand
for 3200 seats. They have $1540 million to spend on three types of planes: Boeing 747s,
Boeing 777s and Airbus A321s. The table below shows number of seats and cost(in
millions) of each plane. How many of each plane should the airline order to meet its
demand for seats?
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This note was uploaded on 03/26/2008 for the course MATH 141 taught by Professor Jillzarestky during the Fall '08 term at Texas A&M.
 Fall '08
 JillZarestky
 Math, Linear Equations, Equations, Systems Of Linear Equations

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