Question

The sum of x and 3/5 is 5/7.

What is the value of x?

Enter your answer in the box as a fraction in simplest form.

x = ?

Answer 1

Answer: The required value of x is
`(4)/(35).`

Step-by-step explanation: Given that the sum of x and
`(3)/(5)` is
`(5)/(7).`

We are to find the value of x.

According to the given information, the equation can be written as follows :

`x+(3)/(5)=(5)/(7)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

The solution of equation (i) is a follows :

`x+(3)/(5)=(5)/(7)\\\\\\\Rightarrow x=(5)/(7)-(3)/(5)\\\\\\\Rightarrow x=(25-21)/(35)\\\\\\\Rightarrow x=(4)/(35).`

Thus, the required value of x is
`(4)/(35).`

Answer 2

We first write the word in math as x+3/5 = 5/7.  Now we cross multiply our fractions and rewrite them with the LCD of 5 and 7. Our equation now looks like x + 21/35 = 25/35.  We simplify our equation by subtracting 21/35 from both sides to get x = 4/35. 4/35 is already in lowest terms so it is our answer.