Question

Solve the equation 1/x + 3/x =16​

Answer 1

`\qquad \qquad \qquad (1)/(x) + (3)/(x ) = 16`

This is how to solve your problem:

1. Combine fracrions with common denominator

`\qquad \qquad (1)/(x) + (3)/(x) = 16`

`\qquad \qquad (1 + 3)/( x) = 16`

• Add the numbers

`\qquad \qquad \qquad(1 + 3)/(x) = 16`

`\qquad \qquad(4)/(x) = 16`

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

`\qquad \qquad \qquad \color{skyblue}{ (4)/(x) = 16}`

`\qquad \qquad \qquad \color{gold}{x .(4)/(x) = x.16}`

• Cancel multiplied terms that are denominator

`\qquad \qquad \: x.(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(4)/(16) = (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 = (1)/(4)`

the final answer is :

`x = (1)/(4)`

Answer 2

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