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Lesson 7 Homework Practice - Solve Systems of Equations

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Lesson 7 Homework Practice - Solve Systems of Equations

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[PDF] Lesson 7 Homework Practice - Solve Systems of Equations

Lesson 7 Homework Practice Solve Systems of Equations Algebraically Solve each system of equations by substitution 1 y = -2x 2 y = x + 2







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Skills Practice Solving Systems of Equations Algebraically Solve each system of equations by using substitution __ PERIOD __ 1 m+n=20 2 x+3y =-3



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[PDF] Solve Systems of Equations by Graphing

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[PDF] unit 7 answers 7th copy

Lesson 6 Skills Practice Inequalities Write an inequality for each sentence DATE PERIOD Skills 7-1 1 More than 100000 fans attended the opening 

:
NAME DATE

Skills Practice

Solving Systems of Equations Algebraically

Solve each system of equations by using substitution. __ PERIOD __

1. m+n=20 2. x+3y =-3 3. w-z= 1

m - n = -4 (8, 12) 4= + 3y = 6 (3, --2) 2w + 3z = 12 (3, 2)

4.3r+s=5

5.2b+3c=-4

6. x-y=1

2r - s = 5 (2, --1) b + c = 3 (13, --10) 2~ + 3y = 12 (3, 2)

Solve each system of equations by using elimination.

7.2p-q=5 8.2j- k -= 3

3p+q=5 (2, --1) 3j+k=2 (1, -1)

9. 3c - 2d = 23c + 4d = 50 (6, 8)

10. 2f + 3g = 9 11. -2x +y = -1 12. 2x -y = 12

f-g = 2 (3, 1) x + 2y = 3 (1, 1) 2~ -y = 6 no solution Solve each system of equations by using either substitution or elimination. =-5( 1 )

15. x-3y=-1213. -r + t = 514. 2x - y

--~-, 411 (3, 5)-2r + t = 4 (1, 6)4= + y22x + y =

16.2p-3q=617.6w-8z=1618. c+d=6

-2p + 3q = -6 (3, O)3w - 4z = Sc - d = 0 (3, 3)infinitely many

19.2u+4v=-6

u + 2v = 3 no solution

20.3a+b=-i

-3a + b = 5 (--1, 2)

21.2x +y =6

3x - 2y = 16 (4, --2)

22. 3y -

z = -6 -3y - z = 6 (-2, O)

23. c+2d=-2

24.3r-2s=l

-2c - 5d = 3 (--4, 1) 2r - 3s = 9 (--3, --5)

25.The sum of two numbers is 12. The difference of the same two numbers is -4.

Find the numbers. 4, 8

26.Twice a number minus a second number is -1. Twice the second number added

to three times the first number is 9. Find the two numbers. 1,3

© Glencoe/McGraw-Hill127Glencoe Algebra 2

NAMEDATE__ PERIOD__

Practice

(Average)

Solving Systems of Equations Algebraically

Solve each system of equations by using substitution.

1.2x+y=4 2.x-3y=9

3x + 2y = 1 (7, -10) x + 2y = -1 (3, -2)

4. 2a - 4b = 6 infinitely5. 2rn + n = 6

-a + 2b = -3 many5m + 6n = 1 (5, -4)

3.g+ 3h = 8

no1_--~ + h = 9 solution

6.4x - 3y = -6

-x - 22 = 7 (-3, -2)

7. u-2v-

18. x- 3y = 169. w+3z=l2-u + 2v=5 no solution 4=-y:9 (1,-5)3w - 5z = -4 (_½, ½)

Solve each system of equations by using elimination.

10.2r+s =5 ll. 2rn-n =-1

3r - s = 20 (5, --5) 3m + 2n = 30 (4, 9)

12.6x + 3y = 6

8x + 5y = 12 (--1, 4)

13.3j-k=1014.2x -y = -4 no15.2g + h = 6

4j - k = 16 (6, 8)-4= + 2y = 6 solution3g - 2h = 16 (4, -2)

16. 2t + 4v = 6 infinitely17. 3x - 2y = 1218. ½x + 3y = 11

-t - 2v = -3 many2x + ~-y = 14 (6, 3)8x - 5y = 17 (4, 3) Solve each system of equations by using either substitution or elimination.

19. 8x + 3y

= -5 20. 8q - 15r = -40 lOx + 6y =-13 (½,--3) 4q + 2r = 56 (10, 8)

22. 4b - 2d = 5 no 23. s + 3y = 4

-2b + d = 1 solution s = 1 (1, 1)

21. 3x - 4y = 12 infinitely14 4 many

~x-~y = ~

24.4m - 2p = 0

25. 5g + 4k = 10 26. 0.5x + 2y = 5

-3g - 5k = 7 (6, --5) x - 2y = -8 (--2, 3)

27. h -z = 3

no-3h + 3z = 6 solution SPORTS For Exercises 28 and 29, use the following information. Last year the volleyball team paid $5 per pair for socks and $17 per pair for shorts on a total purchase of $315. This year they spent $342 to buy the same number of pairs of socks and shorts because the socks now cost $6 a pair and the shorts cost $18.

28.Write a system of two equations that represents the number of pairs of socks and shorts

bought each year. 5x + 17y = 315, 6x + 18y = 342

29.How many pairs of socks and shorts did the team buy each year?socks: 12, shorts: 15

© Glencoe/McGraw-Hill128Glencoe Algebra 2

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