Maths-

General

Easy

Question

# Classify the equation 3x - x + 4 = 4(2x - 1) as having one solution , no solution or infinitely many solutions .

Hint:

### When a given equation has only 1 value that can be substituted for the variable which will satisfy the given equation, the said equation has only 1 solution. i.e. after simplifying the equation, we will get a single value as the solution for x.

We will simplify the given equation and the number of values we get for the variable.

## The correct answer is: The given equation i.e. 3x - x + 4 = 4(2x - 1) can be classified as an equation with only one solution.

### Step-by-step solution:-

Simplifying the given equation i.e. 3x - x + 4 = 4(2x - 1), we get-

3x - x + 4 = 4(2x - 1)

∴ 3x - x + 4 = 8x - 4 ................................. (Opening the bracket and multiplying the number with entire expression on RHS)

∴ 3x - x - 8x = -4 - 4 .................................. (Taking variables and constants on either side of the equation)

∴ - 6x = - 8

∴ x ≈ 1.33 ................................... (Dividing both sides by - 6)

Since after simplifying the given equation, we get a single value of x i.e. 1.33 that will satisfy the given equation, we can conclude that the given equation has 1 solution.

Final Answer:-

∴ The given equation i.e. 3x-x+4 = 4(2x-1) can be classified as an equation with only one solution.

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