Solution/Root of an equation

Linear equations in one variable of Class 8

The value of x, i.e. some number for x, which makes the equation a true statement is called solution or root of the equation.

In simple words, if the L.H.S. and R.H.S become equal for some number plugged in for x, then the number, also called value, is the solution or root of the equation.
In x + 1 = 2, what should be plugged in for x so that L.H.S. becomes equal to R.H.S?
It is 1, i.e. if 1 is plugged in for x, the two sides become equal.

This number or value 1 for x is called root or solution of the equation. Transposition Rule:

Transposition Rule

The transposition rule applies on addition and subtraction.

Transposition Rule

Terms can be transposed (shifted) between either sides of the equality symbol “=” with a change in sign of the transposed terms”

e.g. x + 1 = 2.

question1 can be transposed to right side by inversing its sign i.e. x = -1 + 2 so that we have x = 1 transposition conforms with the rule:

“same numbers can be added on both sides of an equation”

So, in x + 1 = 2, to find x, we need to get rid of 1 on the left hand side, to do this add -1on both sides of the equation. x +1-1 = -1 + 2, x = 1

Notes,worksheet and solved question for Maths class 8

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