Question

solve x-7/4 = x-4/7



and if you don't know the answer don't make any excuses in your answer​

Answer 1

$\longrightarrow{\blue{}}$ $\frac{x - 7}{4} = \frac{x - 4}{7}$

Cross multiply.

$\longrightarrow{\blue{}}$ $7(x - 7) = 4(x - 4)$

$\longrightarrow{\blue{}}$ $7x - 49 = 4x - 16$

Collect like terms.

$\longrightarrow{\blue{}}$ $7x - 4x = - 16 + 49$

$\longrightarrow{\blue{}}$ $3x = 33$

$\longrightarrow{\blue{}}$ $x = \frac{33}{3}$

$\longrightarrow{\blue{}}$ $x = 11$

Therefore, the value of $x$ is $\boxed{ 11 }$.

To verify:

$\longrightarrow{\blue{}}$ $\frac{11 - 7}{4} = \frac{11 - 4}{7}$

$\longrightarrow{\blue{}}$ $\frac{4}{4} = \frac{7}{7}$

$\longrightarrow{\blue{}}$ $1 = 1$

$\longrightarrow{\blue{}}$ L. H. S. = R. H. S.

Hence verified.