Question

1) 5x+1/5=2-3x x=?
explain

Answer 1

Step-by-step explanation:

$\frac{5x + 1}{5} = 2 - 3x$

TRANSPOSE 5 TO LHS ( LEFT HAND SIDE).

$5x + 1 = 5(2 - 3x) \\ 5x + 1 = 10 - 15x$

TRANSPOSE X TERMS TO RHS AND CONSTANT S TO LHS.

$5x + 15x = 10 - 1$

$20x = 9$

$x = \frac{9}{20}$

THEREFORE THE ANSWER IS 9/20.

Hope it is helpful.

pls mark as the Brainliest

Answer 2

Answer:

Given:-

Solve : $\dfrac{5x + 1}{5} = 2 - 3x$ , x = ?

To Find:-

The value of "x".

Note:-

●》Here, we will first transpose the left hand side constant to right hand side, then we will do some calculations and then transposing right hand side variable to left hand side. Then we will add/subtract the terms and transpose the values to find "x" ( where no denominators are there, we considered denominator as 1 ).

●》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.

Solution:-

$\huge\red{\dfrac{5x + 1}{5} = 2 - 3x}$

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

☆ According to note first and second point~

▪︎$\dfrac{5x + 1}{5} = 2 - 3x$

▪︎$5x + 1 = ( 2 - 3x ) × 5$

▪︎$5x + 1 = 10 - 15x$

▪︎$5x + 15x = 10 - 1$

▪︎$20x = 9$

▪︎$x = \dfrac{9}{20}$

$\huge\pink{The \ \ value \ \ of \ \ x = \dfrac{9}{20}}$

Checking:-

♤ Let's check that L.H.S = R.H.S or not from the given equation~

• $\dfrac{5x + 1}{5} = 2 - 3x \implies ?$

♤ Applying "x" value~

• $\dfrac{5 × \frac{9}{20} + 1}{5} = 2 - 3 × \dfrac{9}{20} \implies ?$

• $\dfrac{\frac{45}{20} + 1}{5} = 2 - \dfrac{27}{20} \implies ?$

L.C.M of L.H.S of denominator 20,1 = 2, R.H.S of denominator 1,20= 20~

• $\dfrac{\frac{45}{20} × \frac{1}{1} + 1 × \frac{20}{20}}{5} = 2 × \dfrac{20}{20} - \dfrac{27}{20} × \dfrac{1}{1} \implies ?$

• $\dfrac{\frac{45}{20} + \frac{20}{20}}{5} = \dfrac{40}{20} - \dfrac{27}{20} \implies ?$

• $\dfrac{\frac{65}{20}}{5} = \dfrac{13}{20} \implies ?$

♤ Reciprocating '÷5' of L.H.S side~

• $\dfrac{65}{20} × \dfrac{1}{5} = \dfrac{13}{20} \implies ?$

• $\cancel\dfrac{65}{100} = \dfrac{13}{20} \implies ?$

• $\dfrac{13}{20} = \dfrac{13}{20} \implies ✔$

$\huge\green{Hence, Proved : x = \dfrac{9}{20}}$

Answer:-

Hence, the value of "x" = $\dfrac{9}{20}$.

:)