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Solve by the substitution method. What is the solution of the system? Select the correct choice solution or no solution. 6x -8y = -30 7x + 85 = y

Answer: (-13, -6)

1. Solve by the substitution method. What is the solution of the system? Select the correct choice solution or no solution. 6m + n = -30 m- 7n + 58??

Please correct second equation, where is = sign…

2. Solve by the substitution method. What is the solution of the system? Select the correct choice solution or no solution. 8x + 7y = -3 -5x + y = 18

Answer: (-3, 3)

3. Solve by the substitution method. What is the solution of the system? Select the correct choice solution or no solution. 5x + 9y = 51 7- + y = 51

Answer:

Check second equation.. do you need solution in decimal or fractions..

4. The perimeter of a rectangle is 54m. The length is 9m more than twice the width. Find the dimensions. What is the length and width? (Simplify you answer.)

Answer:

Length = 21 m

Width = 6 m

5. Hockey team receives 2 points when they win and 1 point when they tie. One season, a team won a championship with 54 points. They won 12 more games than they tied. How many wins and how many ties did the team have?

Answer:

Number of wins = 22

Number of ties = 10

6. Solve the system by the elimination method. What is the solution of the system? Select the correct choice. Solution (Type an ordered pair. Use integers or fractions for any numbers in the expression), there are infinitely many solution or no solution. 5x + 5y = -7 7x - 2y =11

Answer: (41/45, -104/45)

7. Solve the system by the elimination method. What is the solution of the system? Select the correct choice. Solution (Type an ordered pair. Use integers or fractions for any numbers in the expression), there are infinitely many solution or no solution. x + 9y = 86 -x + 4y = 31

Answer: (5, 9)

8. Solve the system by the elimination method. What is the solution of the system? Select the correct choice. Solution (Type an ordered pair. Use integers or fractions for any numbers in the expression), there are infinitely many solution or no solution. 0.3x - 0.2y = 4 0.2x + 0.3y = 23/19

Answer: (2740/247, -830/247)

PLEASE CONFIRM EQUATION AS answer is very big..

9. Solve the system by the elimination method. What is the solution of the system? Select the correct choice. Solution (Type an ordered pair. Simplify your answer), there are infinitely many solution or no solution. 8x - 9y = 32.5 7y - 2x = - 10.5

Answer: (7/2, -1/2)

11. Solve the system by the elimination method. What is the solution of the system? Select the correct choice. Solution (Type an ordered pair. Use integers or fractions for any numbers in the expression), there are infinitely many solution or no solution. 0.05x + 0.25y = 11 0.15x + 0.05y = 12

Answer: (70, 30)

10. The perimeter of a rectangle is 72 inches. The length exceeds the width by 18 inches. Find the length and the width (Type an integer or a decimal).

Answer:

Length = 27 inches

Width = 9 inches

13. A college store paid $1838 for an order of 46 calculators. The store paid $8 for each scientific calculator. The others, all graphing calculators, cost the store $57. How many of each type of calculator was ordered?

Answer:

Number of scientific calculators = 16

Number of graphing calculators = 30

14. A lumber company can covert logs into either lumber or plywood. In a given, day the mill turns out three times as many units of plywood as lumber. It makes a profit of $20 on a unit of lumber and $40 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $14280.

Answer:

Lumber: 102

Plywood: 306

15. A disc jockey must play 14 commercial spots during 1 hour of a radio show. Each commercial is either 30 seconds or 60 seconds long. If the total commercial time during 1 hour is 11 minutes, how many 30 second commercials were played that hour? How many 60-second commercials?

Answer:

30 second commercials = 6

60-second commercials = 8

16. Soybean meal is 16% protein; cornmeal is 8% protein. How many pounds of each should be mixed together in order to get 320-lb mixture that is 15% protein?

Answer:

Soybean meal = 280

Cornmeal = 40

17. A student makes a $10.50 purchase at the bookstore with a $20 bill. The store has no bills and gives the change in quarters and fifty-cent pieces. There are 30 coins in all. How many of each kind are? How many quarters and how many fifty-cent pieces are there in the change?

Answer:

Number of quarters = 22

Number of fifty-cents = 8

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