Question

solve the equation 1/x + 3/x =16​

Answer 1

1/x + 3/x = 16
4/x = 16
4/16 = x
1/4 = x

Answer 2

$\qquad \qquad \qquad \frac{1}{x} + \frac{3}{x } = 16$

This is how to solve your problem:

1. Combine fracrions with common denominator

$\qquad \qquad \frac{1}{x} + \frac{3}{x} = 16$

$\qquad \qquad \frac{1 + 3}{ x} = 16$

• Add the numbers

$\qquad \qquad \qquad\frac{1 + 3}{x} = 16$

$\qquad \qquad\frac{4}{x} = 16$

• Multiply all terms by the same value to eliminate fraction denominators

$\qquad \qquad \qquad \color{skyblue}{ \frac{4}{x} = 16}$

$\qquad \qquad \qquad \color{gold}{x .\frac{4}{x} = x.16}$

• Cancel multiplied terms that are denominator

$\qquad \qquad \: x.\frac{4}{x} = x.16$

$\qquad \qquad 4 = x.16$

• Re-order terms so constants are on the left

$\qquad \qquad4 = x.16$

$\qquad \qquad 4 = 16x$

• Divide boths sides by the same factor

$\qquad \qquad4 = 16x$

$\qquad \qquad\frac{4}{16} = \frac{16x}{16}$

• Simplify

• divide the numbers
• Cancel terms that are in both the numerator and denominator
• Move the variable to the left

$\qquad \qquad x = \frac{1}{4}$

the final answer is :

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