Question

Solve:
$\frac{x - 3}{5} + \frac{x - 4}{7} = 6 - \frac{2x - 1}{35}$
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Answer 1

$\bf \red{ \underline{ \underline{Solution}}}$

$\frac{x - 3}{5} + \frac{x - 4}{7} = 6 - \frac{2x - 1}{35}$

$\star \: L.C.M \: of \: 5,7 \: and \: 35 = 35$

Therefore, multiplying both sides of the equation by 35.

${35 \times ( \frac{x - 3}{5} ) + 35 \times ( \frac{x - 4}{7} ) = 35 \times 6 - 35 \times ( \frac{2x - 1}{35} )}$

$7(x - 3) + 5(x - 4) = 210 - (2x - 1)$

$7x - 21 + 5x - 20 = 210 - 2x + 1$

$7x + 5x - 21 - 20 = 210 + 1 - 2x$

$= > 12x - 41 = 211 - 2x$

$= > 12x + 2x = 211 + 41$

$= > 14x = 252$

$= > x = \frac{252}{14}$

$= > \green{ x = 18}$

Answer 2

Solutions:

(x + 3 /5) = (x - 4 /7) = 6 - (2x - 2 /35)

L.C.M of 5,7 and 35 = 35

Therefore, multiplying both sides of the equation by 35.

35 × (x + 3 /5) + 35 × (x - 4 /7) = 35 × 6 - (2x - 2 /35)

7(x - 3) + 5(x - 4) = 210 - (2x - 1)

7x - 21 + 5x - 20 = 210 + 2x + 1

7x + 5x - 21 - 20 = 210 + 1 - 2x

12x + 2x = 211 + 2x

14x = 252

x = 18

silentlover45.❤️