Question

The product of 5 and a number x is  14

 .

What is the value of x?

x= 1/9-4 x= 1/20 x= 5/4 x=4/ 3-4

Answer 1

The expression that translates "The product of 5 and a number x is 14" is

`5\cdot x = 14`

When dealing with an equation, you can divide both sides by the same number (except zero of course), and the resulting equation still has the same solution as the starting one. In this case, it is convenient to divide both sides by 5, so that the x in the left hand side is isolated:

`5\cdot x = 14 \to (5x)/(5)=(14)/(5) \iff x = (14)/(5)`

And so we solved the equation. None of the solutions you propose actually seems to work, so maybe make sure that there are no typos!