Question

What is the answer to the equation 3/5x+2=5.6

Answer 1

The solution to the equation:

`(3)/(5)x_{}+2=5.6`

is

`x=3`

Step-by-step explanation:

Given the equation:

`(3)/(5)x_{}+2=5.6`

To solve this, first subtract 2 from both sides of the equation:

`\begin{gathered} (3)/(5)x+2-2=5.6-2 \\ \\ (3)/(5)x=3.6 \end{gathered}`

Next, mutiply both sides of the equation by the reciprocal of the coefficient of the unknown variable x.

The coefficient of x is 3/5, and the reciprocal of 3/5 is 5/3.

So

`\begin{gathered} (3)/(5)x*(5)/(3)=3.6*(5)/(3) \\ \\ x=(3.6*5)/(3) \\ \\ =(18)/(3) \\ \\ =6 \end{gathered}`

The solution is therefore, x = 6