Question

Solve the equation 7-x/5x+1 = 3​

Answer 1

Answer:

7-x/5x+1=3

7-x = 3(5x +1)

7-x =15x +3

-x-15x = 3 - 7

-16x = -4

16x = 4

x =4/16

x =1/4

Answer 2

Solution

$\frac{7 - x}{5x + 1} = \frac{3}{1}$

By using multiplying, we get,

$1(7 - x) = 3(5x + 1)$

$or \: 7 - x =15x + 3$

$or \: - x - 15x = 3 - 7$

$or \: \: \: - 16x = - 4$

$hence \: \: x = \frac{ - 4}{ - 16} = \frac{1}{4}$

Verification

$for \: x = \frac{1}{4}$

L.H.S

$\frac{7 - x}{5x + 1} = \frac{7 - \frac{1}{4} }{5 \times \frac{1}{4 + 1} } = \frac{ \frac{28 - 1}{4} }{ \frac{5 + 4}{4} } = \frac{ \frac{27}{4} }{ \frac{9}{4} }$

$= \frac{27}{4} \times \frac{4}{9} = 3$

R.H.S

$= 3$

Therefore LHS = RHS verified√√

$hence \: x = \frac{1}{4} \: is \: the \: solution$