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Several problems on system of linear equations

1.
Solve the system by addition or substitution.
-9x - 3y = 22
y = -3x - 6

2.
A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths.

3.
Solve the system by substitution.
4x - 4y = -16
y = 5x - 8

4.
The length of a rectangle is 8 in. more than twice its width. If the perimeter of the rectangle is 34 in., find the width of the rectangle.
A)
2 in.
B)
3 in.
C)
4 in.
D)
5 in.

5.
Solve the system by addition.
5x - 3y = 13
4x - 3y = 11

6.
Solve the following system of linear inequalities by graphing.
x + 2y ≤ 3
2x - 3y ≤ 6
A)

B)

C)

D)

7.
One number is 12 more than another. The sum of the smaller number and twice the larger number is 39. Find the larger number.
A)
5
B)
7
C)
17
D)
34

8.
Solve the system by graphing. You do not need to include the graph in your answer, rather, you can state your answer in words.
x + y = 3
x + y = -1

9.
Adult tickets for a play cost $9 and child tickets cost $3. If there were 24 people at a performance and the theater collected $186 from ticket sales, how many children attended the play?
A)
4 children
B)
5 children
C)
6 children
D)
19 children

10.
Solve the following system of linear inequalities by graphing.
x - 2y ≥ 4
x ≤ 4
A)

B)

C)

D)

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Solution Summary

Step by step solutions are provided to solve problems on system of linear equations.

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