Maths-

General

Easy

Question

# Classify the equation 33x + 99 = 33x - 99 as having one solution, no solution or infinitely many solutions .

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 33x + 99 = 33x - 99 can be classified as having no solution

### Step-by-step solution:-

Simplifying the given equation i.e. 33x + 99 = 33x - 99, we get-

33x + 99 = 33x - 99

∴ 33x - 33x + 99 = 33x - 33x - 99 ........................................................... (Adding -33x both the sides)

∴ 0 + 99 = - 99

∴ 99 ≠ - 99

∴ LHS ≠ RHS

Since in the above equation, LHS is not equal to RHS, the given equation has no solutions.

Final Answer:-

∴ The given equation 33x + 99 = 33x - 99 can be classified as having no solution.

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