## MATH 114N Week 5 Test 2 Chapter 15 Solutions (Version 1)

**1. Question: **Determine whether the given order pair is a solution of the system of equations. Remember to use alphabetically ordered variables.

(11, -6); – 2y = x + 1

5y = 8x + 58

**2. Question: **The perimeter of a standard size rectangular rug is 40 ft. the length is 2 ft longer than the width. Find the dimensions. What is the width? What is the length?

**3. Question: **Solve the following system by substitution method. Check the solution.

4x + 3y = 38

x = y + 6

**4. Question: **Solve the following problem using a system of equations.

How many pounds of nuts selling for $18 and 40 lb of raising selling for $6.

**5. Question: **Solve the following system by substitution method. Check the solution(s).

7x + 4y = 10

x + y = 1

**6. Question: **Suppose that a cyclist began a 364 ml ride across a state at the western edge of the state, at the same time that a car travelling toward it leaves the eastern end of the state. If the bicycle and car met after 6.5 hr and car travelled 38.2 mph faster than the bicycle, find the average rate of each.

**7. Question: **Solve the following system of equation by graphing.

x – 2y = 6

x + 2y = – 2

**8. Question: **Solve the following system by the elimination method. Check the solution.

+ y =

+ =

**9. Question: **Solve the following system of equation by graphing. If the system is inconsistent or the equations are dependent, say so.

## STATUS

9x – 5y = 4

27x – 15y = 12

**10. Question: **Use the elimination method to solve the following system of equations.

3x – 8y = 0

6x + 9y = 0

**11. Question: **Determine whether the given ordered pair is a solution of the system of equations. Remember to use alphabetically ordered variables.

(5, -8); 2x = 18 – y

6x = 54 + 3y

**12. Question: **A baseball team has home games on Friday and Sunday. The two games together earn $3573.50 for the team. Friday’s game generates $362.50 less than Sunday’s game. … taken in at each game?

How much money did Friday’s game generate?

How much money did Sunday’s game generate?

**13. Question: **Without graphing, answer the questions for the following linear system.

7x + 2y = 3

63x + 18y = 7

**14. Question: **Solve the following system by the elimination method. Check the solution.

6x – 4y = – 8y

5x + 4y = – 10

**15. Question: **Solve by the elimination method.

8x + 4y = 0

-48x – 24y = 0

**16. Question: **Use the elimination method to solve the following system of equations.

5x + y = 1

7x – 3y = – 25** **

**17. Question: **Solve the following system by the elimination method.

x + y = 6

4x – y = – 1

**18. Question: **Building A is 190 feet shorter than Building B. the total height of the two Buildings is 1510 feet.

Find the height of each building.

**19. Question: **Solve the following system by the elimination method.

3x – 6y = 6

12x – 24y = 27