# The solution to algebra equations

1. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

x+y=10

x-y=4

2. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

2x-y=19

2x+3y=-19

3. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

4u+v=33

4u=v+39

4. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent.

Y=-x-9

5x-4y= -9

5. solve by the substitution method

5x-8y= -12

4x+42=y

6. solve by the substitution method

8m+n=70

m-9n=27

7. solve by the substitution method

2x+7y=5

-6x+y=51

8. solve by the substitution method

3x+4y=1

-7x+y=39

9. the perimeter of a rectangle is 42m. the length is 9m more than twice the width. Find the dimensions

10. hockey teamse receive 2 points when they win and 1 point when they tie. One season, a team won a championship with 65 points. They won 10 more games than they tied. How many wins and how many ties did the team have

11. solve by the elimination method

x+8y=44

-x+6y=26

12. solve by the elimination method

5x+3y= -7

7x-2y=17

13. solve by the elimination method

0.3x-0.2y=4

0.4x+0.5y=1

14. solve by the elimination method

6x-9y=13.5

7y-3x= -8

15. solve by the elimination method

0.05x+0.25y=66

0.15x+0.05y=72

16. the perimeter of a rectangle is 144 inches. The length exceeds the width by 52 inches. Find the length and the width

17. the everton college store paid $1972 for an order of 52 calculators. The store paid $9 for each scientific calculator. The others, all graphing calculators, cost the store $ 56 each. How many of each type of calculator was ordered?

18. snookers lumber can convert 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 $25 on a unit of lumber and $45 on a unit of plywood. How many of each unit must be produced and sold in order to make a profit of $16320?

Snooker lumber must produce and sell ____units of lumber and ___ units of plywood to make a profit of $16320

19. 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 and 11 min, how many 30 second commercials were played that hour? How many 60 second commercials.=?

20. soybean meal is 18% protein, cornmeal is 9% protein. How many pounds of each should be mixed together in order to get 360LB mixture that is 11% protein?

21. a student makes a $9.75 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 there?

#### Solution Summary

Neat, step-by-step solutions are provided to all the problems.