Solve the equation shown

Question

1/4 + 1/2x = 4

Answer 1

To solve the equation, we need to isolate the variable x.

First, let's get rid of the fractions by finding a common denominator. In this case, the common denominator is 4.

Multiplying every term in the equation by 4, we have:

4 * (1/4) + 4 * (1/2x) = 4 * 4

Simplifying, we get:

1 + 2/x = 16

Next, subtract 1 from both sides of the equation:

2/x = 16 - 1

2/x = 15

To get rid of the denominator, we can multiply both sides of the equation by x:

2/x * x = 15 * x

The x's cancel out on the left side:

2 = 15x

Finally, divide both sides of the equation by 15 to solve for x:

2/15 = x

So, the solution to the equation is x = 2/15.