Question

2/3 fewer than a number tripled is 3/5.

solve the equation

Answer 1

`x = (19)/(45)`

Explanation:

First let's define the variable:

"a number" can be the x value.

The unknown quantity is x.

Then, we can write the equation:

`(2)/(3)` fewer than a number x, is
`x - (2)/(3)`

It says this number is tripled, so the expression becomes
`3`
`x - (2)/(3)`.

This expression is set equal to
`(3)/(5)`

So,

`3x-(2)/(3) = (3)/(5)`

We can now solve:

First, add
`(2)/(3)` to both sides:

The
`-(2)/(3)` gets canceled out.

We do
`(2)/(3) + (3)/(5)`, which equals
`(19)/(15)`.

`3x = (19)/(15)`

Last, divide 3 from both sides to isolate x and get the answer:

`(19)/(15)` ÷
`3` =

`(19)/(15)` ×
`(1)/(3)` =
`(19)/(45)`

So,

`x = (19)/(45)`

I hope this helps!

Answer 2

Let's call the number you're trying to find "x." The equation can be written as:

3x - (2/3)x = 3/5

Now, let's solve for x:

(9/3)x - (2/3)x = 3/5
(7/3)x = 3/5

To isolate x, you can multiply both sides by (3/7):

x = (3/5) * (3/7)
x = 9/35

So, the number you're looking for, "x," is 9/35.