Question

Evaluate: (x+54)/x = 4/1

Answer 1

Answer:

14.5

Step-by-step explanation:

when x =4/1 x=4 and 1/x=1/4 since we take the reciprocal

=4+54/4

=58/4

=14.5 or 15 approx

Answer 2

Answer:

$\large\boxed{x=18}$

Step-by-step explanation:

Identify the variable of x, first you have to isolate it by the x on one side of the equation.

Given:

(x+54)/x=4/1

Solution:

First, remove parenthesis.

$\displaystyle\frac{(x+54)}{x}=\frac{x+54}{x}$

Rewrite the problem down.

$\displaystyle \frac{x+54}{x}=\frac{4}{1}$

$\large\boxed{\textnormal{Multiply Fractions}}$

$\displaystyle \frac{e}{f}=\frac{g}{h}, e*h=f*g$

$\displaystyle (x+54)*1=x*4$

Solve.

$\displaystyle x+54*1=x+54$

$\displaystyle x+54=x*4$

Secondly, subtract 54 from both sides.

$\displaystyle x+54-54=x*4-54$

Solve.

$\displaystyle x=x*4-54$

Thirdly, subtract x*4 from both sides.

$\displaystyle x-x*4=x*4-54-x*4$

Solve.

$\displaystyle 4-x=-3x$

$\displaystyle -3x=-54$

Then, divide by -3 from both sides.

$\displaystyle \frac{-3x}{-3}=\frac{-54}{-3}$

Solve.

Divide the numbers from left to right.

$\displaystyle -54\div-3=\boxed{18}$

$\large\boxed{x=18}$

In conclusion, the final answer is x=18.