Question

6/3x = 3. What is x?

Answer 1

x = 3/2

Explanation:

Hey there!

To solve this equation, let's rewrite it for cohesive purposes. This would result in (6/3)(x) = 3.

Now, we can simplify the fraction because it reduces to a whole number. Three will go into six two times, so 6/3 is equivalent to 2.

This leaves us with 2x = 3.

Now, we need to isolate the x. Because there is a coefficient leading the variable, we can divide the entire term (2x) by 2 as well as dividing the 3 on the righthand side of the equation by 2.

Remember the mathematical rule of thumb: what you do to one side of the equation, you must perform to the other side. Therefore, if we divide by 2 on the left side of the equation, we must also divide the righthand side of the equation by 2.

By performing this step, it leaves us with x = 1.5.

`{(2x)/(2)=(3)/(2)}\\\\\bold{x = (3)/(2)}`

We can reduce
`(3)/(2)` to a decimal, which transfers to 1.5. However, it's best to leave the answer in fractional form. This leaves our final answer as
`\bold{x=(3)/(2)}`.

Answer 2

Steps to solve:

6/3x = 3

~Multiply 3/6 to both sides

x = 3/2

Best of Luck!