Question

1/4 + 1/2x = 4

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve the equation 1/4 + 1/2x = 4, we need to isolate the variable x.

First, we can simplify the equation by multiplying every term by the least common denominator, which is 4:

4 * (1/4) + 4 * (1/2x) = 4 * 4
1 + 2x = 16

Next, we can subtract 1 from both sides to get rid of the constant term on the left side of the equation:

1 + 2x - 1 = 16 - 1
2x = 15

To isolate x, we can divide both sides of the equation by 2:

(2x)/2 = 15/2
x = 15/2

Therefore, the solution to the equation 1/4 + 1/2x = 4 is x = 15/2.

Answer 2

[AI-generated answer — Explain Bot]

To solve the equation 1/4 + 1/2x = 4 for x, you can follow these steps:

Step 1: Clear any fractions by multiplying all terms of the equation by the least common denominator (LCD) of the fractions involved. In this case, the LCD is 4.

Multiply both sides of the equation by 4 to eliminate the fractions:

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

This simplifies to:

1 + 2x = 16

Step 2: Combine like terms by subtracting 1 from both sides of the equation:

1 - 1 + 2x = 16 - 1

This simplifies to:

2x = 15

Step 3: Solve for x by isolating the variable. Divide both sides of the equation by 2:

(2x) / 2 = 15 / 2

This simplifies to:

x = 15/2

So, the solution to the equation 1/4 + 1/2x = 4 is x = 15/2 or x = 7.5.

Answer 3

[AI-generated answer — Step-by-Step Bot]

To solve the equation 1/4 + 1/2x = 4, we can follow these steps:

Step 1: Combine the like terms on the left side of the equation.
1/4 + 1/2x = 4
To add 1/4 and 1/2x, we need to find a common denominator. The common denominator of 4 and 2 is 4, so we can express both fractions with this denominator.
1/4 + (2/2)(1/2x) = 4
1/4 + 2/4x = 4

Step 2: Simplify the left side of the equation.
Since the fractions have the same denominator, we can combine the fractions on the left side.
(1 + 2/4x) = 4
(1 + 1/2x) = 4

Step 3: Isolate the variable on one side of the equation.
To isolate the variable, we subtract 1 from both sides of the equation.
(1 + 1/2x) - 1 = 4 - 1
1 + 1/2x - 1 = 3
1/2x = 3

Step 4: Solve for x.
To solve for x, we need to multiply both sides of the equation by the reciprocal of 1/2, which is 2.
2 * (1/2x) = 3 * 2
x = 6/2
x = 3

Therefore, the solution to the equation 1/4 + 1/2x = 4 is x = 3.