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Solving Equations with Variables on Both Sides

Solve i 3 x+2...

Question

Solve (i) (3x + 24) / (2x + 7) = 2: (ii) (1 − 9y) / (11 − 3y) = (5/8).

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Solution

(i)

(ii)

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\frac{(1 - 9 y)}{(11 - 3 y)} = (\frac{5}{8})

(1 - 9 y) \div (11 - 3 y) = \frac{5}{8} .

\frac{2 x + 7}{5} - \frac{3 x + 11}{2} = \frac{2 x + 8}{3} - \frac{5}{1}

Q. If the replacement set is set of whole numbers, solve:
(i)

x + 7 \leq 11

3 x - 1 > 8

8 - x > 5

7 - 3 x \geq - \frac{1}{2}

Q. Solve the following equation
(a)

5 x - 11 = 2 x + 7

3 (x - 8) - 2 (x - 5) = 2 - 5 x

2 (3 x + 1) - 7 = 2 (6 x - 7)

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Solving Equations with Variables on Both Sides

Standard VIII Mathematics

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