Question

Solve the equation.3/2=9/10k

Answer 1

Solving an equation

We want to solve the following equation finding the value of k:

`(3)/(2)=(9)/(10)k`

Since both sides are equal we can multiply each side by 10:

`\begin{gathered} 10\cdot(3)/(2)=10\cdot(9)/(10)k \\ 10\cdot(3)/(2)=1\cdot9k \\ 10\cdot(3)/(2)=9k \\ 5\cdot3=9k \\ 15=9k \end{gathered}`

dividing both sides by 9:

`\begin{gathered} (15)/(9)=(9k)/(9) \\ (15)/(9)=1\cdot k \\ (15)/(9)=k \\ \end{gathered}`

Simplifying the answer dividing both sides by 3:

`(15)/(9)=(5)/(3)`

Answer: k = 5/3