Question

Simplify the equations and solve them.
$a. \: \: 12 - \frac{4}{5} (y + 15) = 4$
$\frac{2x - 12}{3} = \frac{2x}{5}$
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Answer 1

ANSWER:

$a)\\Simplified\:\:equation:\\ \frac{y}{5} = - 1 \\ \\Value\:\:of\:\:y = -5$

$b)\\Simplified\:\:equation:\\4x = 60 \\ \\ Value\:\:of\:\:x = 15$

GIVEN:

$a) \: 12 - \frac{4}{5} (y + 15) = 4 \\ \\ b)\:\frac{2x - 12}{3} = \frac{2x}{5}$

TO FIND:

a) Value of y

b) Value of x

EXPLANATION:

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a) Simplify the equation by taking 4 as common on left side

$12 - \frac{4}{5} (y + 15) = 4 \\ \\ 4 \bigg(3 - \frac{1}{5} (y + 15) \bigg) = 4 \\ \\ 3 - \frac{y}{5} -3 = 1 \\ \\ \frac{y}{5} = 0 - 1 \\ \\ \frac{y}{5} = -1 \\ \\ y = -5$

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b) Simplify the equation by cross multiplying the denominators.

$\frac{2x - 12}{3} = \frac{2x}{5} \\ \\ 10x - 60 = 6x \\ \\ 4x = 60 \\ \\ x = 15$

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$Hence\\a)\:Simplified\:\:equation:\\ \frac{y}{5} = - 1 \\ \\Value\:\:of\:\:y = -5$

$b) \:Simplified\:\:equation:\\4x = 60 \\ \\ Value\:\:of\:\:x = 15$

Answer 2

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