Question

ˣ⁺⁶⁄ₓ = ¼ Can someone explain to me how to solve this?

Answer 1

The solution to the given equation is x = -8

Solving Linear Equations

From the question, we are to determine value of x in the given equation

The given equation is

(x + 6)/x = 1/4

To solve the given equation, we would solve for the unknown variable x

(x + 6)/x = 1/4

First, multiply both sides of the equation by x

x + 6 = x × 1/4

x + 6 = x/4

Now, multiply both sides of the equation by 4

4(x + 6) = 4 × x/4

4x + 24 = x

Now, subtract x from both sides of the equation

4x - x + 24 = x - x

3x + 24 = 0

Subtract 24 from both sides of the equation

3x + 24 - 24 = 0 - 24

3x + 0 = -24

3x = -24

Divide both sides of the of the equation by 3

3x/3 = -24/3

x = -8

Hence, the solution to the given equation is x = -8

Learn more on Solving Linear Equations here: brainly.com/question/85186

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