Question

Solve the one-step equation with negatives: -3/4f = 5/4.

Options:
A) f = 3/5
B) f = -5/3
C) f = -4/5
D) f = 5/4

Answer 1

To solve the equation -3/4f = 5/4, multiply both sides of the equation by the reciprocal of -3/4, which is -4/3. Simplify the resulting fraction to find f = -5/3.

Step-by-step explanation:

To solve the one-step equation -3/4f = 5/4, we need to isolate the variable f. To do this, we'll multiply both sides of the equation by the reciprocal of -3/4, which is -4/3. This will cancel out the fraction on the left side of the equation:

-3/4f * -4/3 = 5/4 * -4/3

f = -20/12

Now, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 4:

f = -5/3

Therefore, the correct answer is f = -5/3, option B.