Question

Solve for the equation below PLEASE

Answer 1

Related Concepts

• Algebraic equations with fractions

Solving the Question

`(2)/(3)x=6`

• Our goal is always to isolate x.
• We can do that by performing inverse operations
• ⇒ ex. the inverse of addition is subtraction
• Here, we have to get rid of the
  `(2)/(3)` by dividing both sides by it.

`((2)/(3)x)/((2)/(3))=(6)/((2)/(3))\\\\x=(6)/((2)/(3))\\\\x=6/(2)/(3)`

• Dividing by a fraction is the same as multiplying by its reciprocal:

`x=6*(3)/(2)\\\\x=(18)/(2)\\\\x=9`

Answer

x = 9