Solving Equation with Brackets
Solving Equation with Brackets
Solving Equation with Brackets:
There are situations in which both the sides of an equation contain both variable (unknown quantity) and constant (numerals). In such cases, we first simplify two sides to their simplest forms and then transpose (shift) terms containing variable on R.H,S to L.H.S and constant terms on L.H.S and R.H.S By transposing a term form one side to other side, we mean changing its sign and carrying it to the other side. In transposition the plus sign of the term changs into minus sign on oher side and vice-versa.
The transposition method involves the following steps:
Step I Obtain the linear euation.
Step II Identify the variable (unknown quantity) and constants (numerals).
Step III Simplify the L.H.S and R.H.S to their simplest forms by removing brackets.
Step IV Transpose all terms containing variable on L.H.S and constant terms on R.H.S Note that the sign of the terms will change in shifting then form L.H.S to R.H.S and vice-versa.
Step V SImplify L.H.S and R.H.S in the simplest form so that each side contains just one term.
Step VI Solve the equation obtaineed in step V by dividing both sides by the coefficient of the variable on L.H.S
Example: Solve:
Solution We have,
The denominators on two sides of the given equation are 6, 3, 4 and 12.
Their LCM is 12. Multiplying both sides of the given equaton by 12, we get
[Transposing 3x to LHS and -37 to RHS]
[Dividing both sides by 3]
Check Subtituting x = 11 on both sides of the given equation, we get
Thus, for x = 11, we have L.H.S = R.H.S
Find the value of p : | |||
| Right Option : B | |||
| View Explanation | |||
| Right Option : D | |||
| View Explanation | |||
Find x: | |||
| Right Option : A | |||
| View Explanation | |||
Students / Parents Reviews [20]
My experience with Abhyas is very good. I have learnt many things here like vedic maths and reasoning also. Teachers here first take our doubts and then there are assignments to verify our weak points.
Shivam Rana
7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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10thThe experience was nice. I studied here for three years and saw a tremendous change in myself. I started liking subjects like English and SST which earlier I ran from. Extra knowledge gave me confidence to overcome competitive exams. One of the best institutes for secondary education.
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7thAbout Abhyas metholodology the teachers are very nice and hardworking toward students.The Centre Head Mrs Anu Sethi is also a brilliant teacher.Abhyas has taught me how to overcome problems and has always taken my doubts and suppoeted me.
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Yatharthi Sharma
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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8thIn terms of methodology I want to say that institute provides expert guidence and results oriented monitering supplements by requsite study material along with regular tests which help the students to improve their education skills.The techniques of providing education helps the students to asses...
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Ayan Ghosh
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Manya
8thWhen I have not joined Abhyas Academy, my skills of solving maths problems were not clear. But, after joining it, my skills have been developed and my concepts of science and SST are very well. I also came to know about other subjects such as vedic maths and reasoning.
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Barkha Arora
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Manish Kumar
10thUsually we see institutes offering objective based learning which usually causes a lag behind in subjective examinations which is the pattern followed by schools. I think it is really a work of planning to make us students grab the advantages of modes of examination, Objective Subjective and Onli...
