Question

Solve for d. (d-3)/(d+5)=(d-5)/(d+7)

Answer 1

To solve for d in the equation (d-3)/(d+5) = (d-5)/(d+7), cross-multiply to eliminate denominators, simplify the equation, and isolate d to find that d = -1.

Step-by-step explanation:

The student wants to solve for the variable d in the equation (d-3)/(d+5) = (d-5)/(d+7). To do this, we can cross-multiply to eliminate the denominators:

1. Multiply both sides of the equation by the denominators to get rid of them: (d-3)(d+7) = (d-5)(d+5).
2. Expand both sides of the equation: d² + 4d - 21 = d² - 25.
3. Simplify the equation by subtracting d² from both sides: 4d - 21 = -25.
4. Add 21 to both sides: 4d = -4.
5. Finally, divide both sides by 4 to isolate d: d = -1.

Hence, the solution to the equation is d = -1.