(12-x)/5=x
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Answers
Step-by-step explanation:
Your question: Solve the equation: 12-x/5=x
So, Before I explain the solution, lets have a quick intro with some terms
Linear Equations - Equations which should have a variable, a constant and an equal to '=' sign.
Variable- The unknown value which we are told to find is termed as variable. Variable are denoted with any letter be it 'x' or 'y' , but they must be in small letter.
Constant - The fixed value we have in the equation is the constant
Method of Transposing- Its a Method used in solving equation where we take the number from LHS to RHS and the signs gets changed.
Follow this table for changing the signs when you transpose a number which is like in following cases from LHS (Left hand side) to RHS (Right hand side) and vice-versa.
_____________________________________________________
LHS RHS
+ -
* ÷
² √
³ ∛
________________________________________________________
These were the most commonly used signs.
Solution:
So, Here there's a variable 'x'
In this equation it means that a number x/5 is subtracted from 12 and the resulting difference is x. That means if x = numerator then the difference is the same number which is in the numerator.
So, Lets use the method of transposition.
12 - x/5 = x
∴ 12 = x + x/5
(Use the above information to know the conversion of sign, here - turned to +)
12 = x + x/5
12 = x*5 /1*5 + x/5 (Cross multiplication
12 = 5x/5 +x/5
12 = 6x/5
12 * 5 = 6x
(Use the above information to know the conversion of sign, here ÷ turned to *)
60 = 6x i.e 6*x
60/6 = x
(Use the above information to know the conversion of sign, here * turned to ÷)
10 = x
therefore, the solution of the equation is x= 10
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Verification:
12 - x/5 = x
12 - 10/5 = 10
LHS RHS
12 - 2 = 10
10 = 10
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Step-by-step explanation:
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