Chapter 4.8, Problem 4MRE

To determine

To find: the solution of the equation

Answer to Problem 4MRE

The solution of the equation is $\boxed{x=\frac{1}{9}}$

Explanation of Solution

Given information: $-5x=-\frac{10}{18}$

Concept Involved:

Solve the equation by getting the variable in one side of the equation and undoing whatever is done to it by performing reverse operation. The solution to the equation is the value of x that makes the equation TRUE.

Calculation:

In the process of getting x alone in one side of the equation we need to divide by -5 on both sides of the equation

  $-5x÷-5=-\frac{10}{18}÷-5$

Convert division problem to multiplication problem by flipping the second fraction

  $-5x\times \frac{1}{-5}=-\frac{10}{18}\times \frac{1}{-5}$

Multiply numerator with numerator and denominator with denominator on both sides of the equation

  $\frac{-5x}{-5}=\frac{-10}{-90}$

Simplify fraction on both sides of the equation

  $x=\frac{1}{9}$

Conclusion:

The solution to the given equation $-5x=-\frac{10}{18}$is $\boxed{x=\frac{1}{9}}$