Question

Multiply both sides of the equation (3x)/(4)+5=(1)/(8) by 8 .

Answer 1

Multiplying both sides of the equation (3x/4) + 5 = 1/8 by 8 results in the simplified integer equation 6x + 40 = 1, which makes it easier to solve for x.

Step-by-step explanation:

To multiply both sides of the equation (3x)/(4)+5=(1)/(8) by 8, we apply the principle that multiplying by a number is the same as dividing by its reciprocal. When we multiply each side by 8, we eliminate the fractions and simplify the equation. The process is as follows:

1. Start with the original equation: (3x/4) + 5 = 1/8.
2. Multiply each term of the equation by 8 to cancel the denominators: 8 * (3x/4) + 8 * 5 = 8 * (1/8).
3. Simplify the equation: 2 * 3x + 40 = 1.
4. The resulting equation is 6x + 40 = 1.

This process allows us to work with integers instead of fractions, making it easier to solve for x.