Systems Of Linear Equations Worksheets With Answer Key Page 24
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4028.
28.
LOGIC
You solve a system of equations in which
x represents the number of adult tickets sold and
y represents the number of student tickets sold.
Can (− 6, 24) be the solution of the system? Explain
your reasoning.
29.
29.
VACATION
The table shows the activities of two tourists
at a vacation resort. You want to go parasailing for
1 hour and horseback riding for 2 hours. How much
do you expect to pay?
Parasailing
Horseback Riding
Total Cost
Tourist 1
2 hours
5 hours
$205
Tourist 2
3 hours
3 hours
$240
30.
30.
REASONING
REASO
O
The solution of a system of linear equations is
(2, − 4). One equation in the system is 2x + y = 0. Explain
(2, − 4
−
4)
how you could fi nd a second equation for the system. Then
how y
yo
fi nd a second equation. Solve the system by elimination to
fi nd a
a s
justify your answer.
justify
y
31.
31
JEWELER
JEWELER
A metal alloy is a mixture of two or more
A metal alloy is a m
a
mix
metals. A jeweler wants to make 8 grams of 18-carat
gold, which is 75% gold. The jeweler has an alloy
that is 90% gold and an alloy that is 50% gold.
How much of each alloy should the jeweler use?
32.
PROBLEM SOLVING
A powerboat takes 30 minutes to travel 10 miles
downstream. The return trip takes 50 minutes. What is the speed of the current?
33.
Solve the system of equations by elimination.
2x − y + 3z = − 1
x + 2y − 4z = − 1
y − 2z = 0
Decide whether the two equations are equivalent.
(Section 1.2 and Section 1.3)
3
34. 4n + 1 = n − 8
35. 2a + 6 = 12
36. 7v −
= 5
—
2
3n = − 9
a + 3 = 6
14v − 3 = 15
1
Which line has the same slope as y =
x − 3?
37.
MULTIPLE CHOICE
—
(Section 4.4)
2
y = − 2x + 4
y = 2x + 3
y − 2x = 5
2y − x = 7
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A
B
C
D
Section 5.3
Solving Systems of Linear Equations by Elimination
223
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