# 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)

#### Solution Summary

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