# Solving Algebraic Equations : 17 Problems

# 23. 2 = x + 7 # 24. 3 = x + 5

# 48 2 # 49 3y
–x = – 8 90 = —
3 4

# 92. World gain demand. Freeport McMoRan projects that in 2010 word gain supply will be 1.8 trillion metric tons and the supply will be only ¾ of world gain demand. What will world gain demand be in 2010?

# 7 – 3y –6 = 0 # 8. – 9w – 54 = 0

# 22 9 + 14 = 2y #23 4z = 5 – 2z

#94 Fahrenheit. Water boils at 212*F.

(A) Use the accompanying graph to determine the Celius temperature at which water boils.
(B) Fine the Fahrenheit temperature of hot tap water at 70*C by solving the equation.

5
70= — (F – 32).
9

# 31. w w # 32. a a
— + — = 12 — — — = –5
2 4 4 2

# 41 0.3x + 1.2 = 0.5x # 42 0.4x — 1.6 = 0.6x

# 69 3x — 5 = 2x — 9 # 70 5x –9 = x – 4

# 77 2
— –a + 1 = 2
3

# 78 3 1
— –t = —
4 2

# 90 Federal taxes. According to Bruce Harrell, CPA, the federal income tax for a class C corporation is found by solving a linear equation. The reason for the equation is that the amount x of federal tax is deducted before the state tax is figured. And the amount of state tax is deducted before the federal tax is figured. To find the amount of federal tax for a corporation with a taxable income of \$ 200,000, for which the federal tax rate is 25% and state tax is 10%, Bruce must solve

X = 0.25[200,000 – 0.10(200,000 – x].

Solve the equation for Bruce.

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