Solving an equation means finding the value of the variable which satisfies it.
There are certain facts about equality.
Rule 1: Same quantity (number) can be added to both sides of an equation without changing the equality.
Rule 2: Same quantity can be subtracted from both sides of an equation without changing the equality.
Rule 3: Both sides of an equation may be multiplied by the same non - zero number without changing the equality.
Rule 4: Both sides of an equation may be divided by the same non - zero number without changing the equality.
These rules are used to solve the problems:
Illustration: Solve the following equation and verify the result
:
Solution: We have,
[ Subtracting 11 from both sides]
Verification Putting the vaue of x in LHS, we get
,
If then find the value of x: | |||
Right Option : D | |||
View Explanation |
Find value of x : 10x - 18 = -6x + 38 | |||
Right Option : B | |||
View Explanation |
The solution of is : | |||
Right Option : C | |||
View Explanation |
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