Maths-
General
Easy
Question
Check, whether the following equation has exactly one solution or infinitely many solution or no solution. 4x + 2 = 4x – 5
Hint:
An equation where no value can be substituted for the variable which will satisfy the equation i.e. for no value of x (or any other variable in the equation), would LHS equal RHS.
Hence, an equation where LHS ≠ RHS for any value of x has no solutions.
We will simplify the given equation and check whether LHS = RHS or not.
The correct answer is: The given equation 4x + 2 = 4x - 5 can be classified as having no solution
Step-by-step solution:-
Simplifying the given equation i.e. 4x + 2 = 4x - 5, we get-
4x + 2 = 4x - 5
∴ 4x - 4x + 2 = 4x - 4x - 5 ........................................................... (Adding -4x both the sides)
∴ 0 + 2 = -5
∴ 2 ≠ -5
∴ LHS ≠ RHS
Since in the above equation, LHS is not equal to RHS, the given equation has no solutions.
Final Answer:-
∴ The given equation 4x + 2 = 4x - 5 can be classified as having no solution.
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