Question

solve the equation by the method of transposition: "2x+7=19" and verify​

Answer 1

Answer:

2x+7=19

2x = 19-7

2x =12

x= 12/2

x=6

Answer 2

Answer :-

• Value of x is 6 .

Step-by-step-Explaination :-

$\sf \: 2x + 7 = 19$

Here , we have to solve by " Method of Transposition " .

★So, Let's solve :-

Bringing 7 to R.H.S and becomes negative.

$: : \sf\implies \: 2x = 19 - 7$

$: : \sf\implies \: 2x = 12$

$: : \sf\implies \: x = \dfrac{ 12}{2}$

$: : \sf\implies \: x = \bf 6 \: \bigstar$

Hence , Value of X is 6.

Also , it is asked for verification . So,

We put the Value of X . To do verification ,

$\sf \: 2x + 7 = 19$

$: : \sf\implies \: 2 \times 6 + 7 = 19$

$: : \sf\implies \: 12 + 7 = 19$

$: : \sf\implies \: \bf19 = 19 \bigstar$

Hence , It is verified that our answer is correct because see Both L.H.S and R.H.S are equal.

A Little bit more :-

• It is a sum from the chapter Linear Equation & Inequation.

Solving Linear equation in one variable:-

1. Simply both sides by removing group symbols and collecting like terms .
2. Removing fractions (or decimals) by multiplying both sides by an appropriate factor (LCM of denominators or a power of 10 in case of decimals ) .
3. Isolate all variable terms on one side and all Constant on the other side . Collect like terms .
4. Make the coefficient of the variable 1 .

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