Question

Solve for x.

1. x/5 = 15 + x/3

2. x/6 = 3x/5 = 2

3. x+1/x-5 = 5/3

4. a+2/3 = a-1/4

Answer 1

$1. \frac{x}{5} = 15 + \frac{x}{3} \\ = > \frac{x}{5} + \frac{x}{3} = 15 \\ = > \frac{3x + 5x}{15} = 15 \\ = > \frac{8x}{15} = 15 \\ = > 8x = 15 \times 15 \\ = > x = \frac{15 \times 15}{8 } \\ = > x = \frac{225}{8}$

$2. \frac{x}{6} = \frac{3x}{5} = 2 \\ = > \frac{x}{6} = 2 \\ = > x = 12 \\ or \: \frac{3x}{5} = 2 \\ = > 3x = 10 \\ = > x = \frac{10}{3} \\ 12 \: not \: = \frac{10}{3} \\ so \: the \: question \: is \: rong$

$3. \frac{x + 1}{x - 5} = \frac{5}{3} \\ so \: a. \: \: x + 1 = 5 \: and \\ \: \: \: = >x = 4 \: \\ b. \: \: x - 5 = 3 \\ \: \:= > x = 8 \: \: \: \: \: \\ 4 \: not \: = 8 \\ so \: the \: question \: is \: rong$

$\frac{a + 2}{3} = \frac{a - 1}{4} \\ = > 4(a + 2) = 3(a - 1) \\ = > 4a + 8 = 3a - 3 \\ = > 4 a - 3a = - 3 - 8 \\ = > a = - 11$

Answer 2

Answer:

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