Question

plz solve it soon as you can​

Answer 1

Answer:

Given:-

Solve : $\dfrac{x}{4} - \dfrac{2}{7} = \dfrac{5}{7}$.

To Find:-

The value of "x".

Note:-

●》Here, first we will transpose the terms and calculate the terms for finding "x"

●》Transposing - For finding unknown values ( variables ) , known values ( constant ) needs to change their side and also signs are changed. For example - Negative becomes Positive, Divisional becomes Multiple.

Solution:-

$\huge\red{\dfrac{x}{4} - \dfrac{2}{7} = \dfrac{5}{7}}$

$\huge\red{ \ \ \ \ The \ \ value \ \ of \ \ x = ?}$

☆ According to note first and second point~

▪︎$\dfrac{x}{4} - \dfrac{2}{7} = \dfrac{5}{7}$

☆ Transposing $- \dfrac{2}{7}$ ~

▪︎$\dfrac{x}{4} = \dfrac{5}{7} + \dfrac{2}{7}$

▪︎$\dfrac{x}{4} = \dfrac{7}{7}$

☆ Transposing 4~

▪︎$x = \dfrac{7}{7} × 4$

▪︎$x = \dfrac{28}{7}$

☆ After dividing 28 by 7~

▪︎$x = 4$

$\huge\pink{The \ \ value \ \ of \ \ x = 4}$

Checking:-

♤ Let's check that two side equation calculations is equal or not as per equation means.

• $\dfrac{x}{4} - \dfrac{2}{7} = \dfrac{5}{7} \implies ?$

♤ Applying the value of x~

• $\dfrac{4}{4} - \dfrac{2}{7} = \dfrac{5}{7} \implies ?$

♤ L.C.M. of 4 and 7 is = 28~

• $\dfrac{4}{4} × \dfrac{7}{7} - \dfrac{2}{7} × \dfrac{4}{4} = \dfrac{5}{7} \implies ?$

• $\dfrac{28}{28} - \dfrac{8}{28} = \dfrac{5}{7} \implies ?$

• $\dfrac{20}{28} = \dfrac{5}{7} \implies ?$

• $\dfrac{5}{7} = \dfrac{5}{7} \implies ✔$

$\huge\green{Hence, Proved : The \ \ value \ \ of \ \ x = 4}$

Answer:-

Hence, The value of "x" = 4.

:)