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Integers

Question 54 S...

Question

Question 54

Solve the following:

$\frac{0.2 x + 5}{3.5 x - 3} = \frac{2}{5}$

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Solution

Given, $\frac{0.2 x + 5}{3.5 x - 3} = \frac{2}{5} \Rightarrow 5 (0.2 x + 5) = 2 (3.5 x - 3) \Rightarrow x + 25 = 7 x - 6 \Rightarrow x - 7 x = - 6 - 25 \Rightarrow - 6 x = - 31 \Rightarrow \frac{- 6 x}{- 6} = \frac{- 31}{- 6} ∴ x = \frac{31}{6}$

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Question 54

Solve the following:

$\frac{0.2 x + 5}{3.5 x - 3} = \frac{2}{5}$

Q. Solve the following equation:

\frac{{0.2}^{x + 0.5}}{\sqrt{5}} = \frac{(0.04)^{x}}{25}

\frac{2^{- 3} \times 5^{- 3} \times 10^{2} \times 25}{5^{4} \times 2^{- 5}}

\frac{(0.2)^{(x - 0.5)}}{\sqrt{5}} = 5 \times (0.04)^{(x - 1)}

Q. Question 1(c)
Solve the following equations:

\frac{a}{5} + 3 = 2

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