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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 = ?

Respuesta :

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.

Answer:  The required value of x is [tex]\dfrac{4}{35}.[/tex]

Step-by-step explanation:  Given that the sum of x and [tex]\dfrac{3}{5}[/tex] is [tex]\dfrac{5}{7}.[/tex]

We are to find the value of x.

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

[tex]x+\dfrac{3}{5}=\dfrac{5}{7}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

The solution of equation (i) is a follows :

[tex]x+\dfrac{3}{5}=\dfrac{5}{7}\\\\\\\Rightarrow x=\dfrac{5}{7}-\dfrac{3}{5}\\\\\\\Rightarrow x=\dfrac{25-21}{35}\\\\\\\Rightarrow x=\dfrac{4}{35}.[/tex]

Thus, the required value of x is [tex]\dfrac{4}{35}.[/tex]