Question

solve the following equation by transposing method:- 1x/4+5=6, plz give the answer in details and plz answer it fast as you all can​

Answer 1

$\sf{ \frac{1x}{4} + 5 = 6}$

$\sf{x = \frac{( - 5 + 6)}{(1/4)}}$

$\sf{x = \frac{1}{1/4} }$

$\sf{x = 1 \times 4}$

$\sf\large\orange{x = 4}$

_____________________________

1x/4+5 = 6

1x/4 = 6 - 5

x/4 = 1

x = 4 × 1

x = 4

Answer 2

$\large\underline{\sf{Solution-}}$

Given equation is

$\rm :\longmapsto\:\dfrac{x}{4} + 5 = 6$

Let we first transpose 5 on RHS, we get

$\rm :\longmapsto\:\dfrac{x}{4} = 6 - 5$

$\rm :\longmapsto\:\dfrac{x}{4} = 1$

Now, we cross multiply by 4 on both sides, we get

$\rm :\longmapsto\:x = 1 \times 4$

$\bf\implies \:\boxed{ \tt{ \: x = 4 \: }}$

Verification :-

Given equation is

$\rm :\longmapsto\:\dfrac{x}{4} + 5 = 6$

Consider LHS

$\rm :\longmapsto\:\dfrac{x}{4} + 5$

On substituting x = 4, we get

$\rm \: = \: \dfrac{4}{4} + 5$

$\rm \: = \: 1 + 5$

$\rm \: = \: 6$

Hence, LHS = RHS

Hence, Verified

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Basic Concept :-

We can use the following steps to find a solution using transposition method:

Step 1 :- Identify the variables and constants in the given equation.

Step 2 :- Simplify the equation on both sides in simplest form.

Step 3 :- Transpose the term on either side to separate the variables and constant term of the equation.

Step 4 :- Simplify the equation using arithmetic operation as required in the given equation.

Step 5 :- The value of unknown variable is the solution of Given equation.

Keep in Mind :-

While transposing,

$\red{\rm :\longmapsto\:\boxed{ \tt{ \: ( + ) \: changes \: to \: ( - ) \: }}}$

$\red{\rm :\longmapsto\:\boxed{ \tt{ \: ( - ) \: changes \: to \: ( + ) \: }}}$

$\red{\rm :\longmapsto\:\boxed{ \tt{ \: ( \times ) \: changes \: to \: ( \div ) \: }}}$

$\red{\rm :\longmapsto\:\boxed{ \tt{ \: ( \div ) \: changes \: to \: ( \times ) \: }}}$