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# Sample algebra questions (using the addition method)

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Solve each system by the addition method

# 9 x - y = 12
2x + y = 3

# 10 x - 2y = 1
-- x + 5y = 4

# 11 2x - y = 5
3x + 2y = 3

# 12 3x + 5y = 11
x - 2y = 11

# 18 x + y= 13
22x + 36y = 356

Solve each system by the addition method. Determine whether the equations are independent, dependent, or inconsistent.

# 19 3x - 4y = 9
--3x + 4y = 12

# 20 x -- y = 3
--6x + 6y = 17

# 23 2x - y = 5
2x + y = 5

# 24 -- 3x + 2y = 8
3x + 2y = 8

Solve each system by the addition method

# 28 x y 5
-- -- -- = -- --
3 2 6
X y 3
-- -- -- = -- --
5 3 5

# 29 1 1
--x + -- y = 5
8 4
1 1
-- --x + --y = 7

# 30 3 5
--x + --y = 27
7 9
1 2
--x + --y = 7
9 7

# 40 Low fat yogurt. Ziggy`s Famous yogurt blends regular yogurt that is 3% fat with its no-fat yogurt to obtain low-fat yogurt that is 1% fat How many pounds of regular yogurt and how many pounds of no-fat yogurt should be mixed to obtain 60 pound of low-fat yogurt?