Maths-

General

Easy

Question

# How many solutions does the equation 3(2.4x+4)= 4.1x + 7 + 3.1x have Explain?

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 3 (2.4x + 4)= 4.1x + 7 + 3.1x can be classified as having no solution.

### Step-by-step solution:-

Simplifying the given equation i.e. 3 (2.4x + 4)= 4.1x + 7 + 3.1x, we get-

3 (2.4x + 4) = 4.1x + 7 + 3.1x

∴ 7.2x + 12 = 4.1x + 7 + 3.1x ........................... (Opening the bracket and multiplying 3 with the entire expression on LHS)

∴ 7.2x - 4.1x - 3.1x = 7 - 12 ......................................... (Taking variables and constants on either sides of the equation)

∴ 0 = -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 3 (2.4x + 4)= 4.1x + 7 + 3.1x can be classified as having no solution.

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