Question

3x-4/5=8x-2/10 answer this question​

Answer 1

Answer:

$hu$

Step-by-step explanation:

4x - 2 = 3x + 1

Solution We substitute the value 3 for x in the equation and see if the left-hand member equals the right-hand member.

4(3) - 2 = 3(3) + 1

12 - 2 = 9 + 1

10 = 10

Ans. 3 is a solution.

Answer 2

Answer:

Given:-

Answer this question : $3x - \dfrac{4}{5} = 8x - \dfrac{2}{10}$.

To Find:-

The value of "x"

Note:-

●》Here, we will first transpose the L.H.S constant to R.H.S and R.H.S variable to L.H.S and then we will add/subtract. After that, we will transpose constants to find the value of "x".

●》Transposing - It is a process in which we change the side of known value for finding unknown value and in this process signs are also changed. For example - Positive becomes Negative, Negative becomes Positive, Multiple becomes Divisional ( Positive and negative signs are not changed during transposing of multiple value and divisional value ).

Solution:-

$\huge\red{3x - \dfrac{4}{5} = 8x - \dfrac{2}{10}}$

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

☆ According to note first and second point~

▪︎$3x - \dfrac{4}{5} = 8x - \dfrac{2}{10}$

▪︎$3x - 8x = \dfrac{4}{5} - \dfrac{2}{10}$

☆ L.C.M of R.H.S denominators = 10~

▪︎$-5x = \dfrac{4}{5} × \dfrac{2}{2} - \dfrac{2}{10} × \dfrac{1}{1}$

▪︎$-5x = \dfrac{8}{10} - \dfrac{2}{10}$

▪︎$-5 × x = \dfrac{6}{10}$

▪︎$x = \dfrac{6}{10} ÷ -5$

☆ Reciprocating the "÷5" ~

▪︎$x = \dfrac{6}{10} × - \dfrac{1}{5}$

▪︎$x = - \dfrac{6}{50}$

☆ After reducing the numerator and denominator by 2~

▪︎$x = - \dfrac{3}{25}$

$\huge\pink{The \ \ value \ \ of \ \ x = - \dfrac{3}{25}}$

Checking:-

♤ Let's check that L.H.S value = R.H.S value or not ( by equation means )~

• $3x - \dfrac{4}{5} = 8x - \dfrac{2}{10} \implies ?$

♤ Applying "x" value~

• $3 × - \dfrac{3}{25} - \dfrac{4}{5} = 8 × - \dfrac{3}{25} - \dfrac{2}{10} \implies ?$

• $- \dfrac{9}{25} - \dfrac{4}{5} = - \dfrac{24}{25} - \dfrac{2}{10} \implies ?$

♤ L.C.M of denominators of L.H.S = 25, R.H.S = 50~

• $- \dfrac{9}{25} × \dfrac{1}{1} - \dfrac{4}{5} × \dfrac{5}{5} = - \dfrac{24}{25} × \dfrac{2}{2} - \dfrac{2}{10} × \dfrac{5}{5} \implies ?$

• $- \dfrac{9}{25} - \dfrac{20}{25} = - \dfrac{48}{50} - \dfrac{10}{50} \implies ?$

♤ As negative sign × negative sign = positive ( for adding, but the sign will be negative )~

• $- \dfrac{29}{25} = - \cancel\dfrac{58}{50} \implies ?$

• $- \dfrac{29}{25} = - \dfrac{29}{25} \implies ✔$

$\huge\green{Hence, Proved : x = - \dfrac{3}{25}}$

Answer:-

Hence, the value of "x" = $- \dfrac{3}{25}$.

:)