Question

All of the following equations have the same solution except _____.

A) y – 5 = -7
B) –y + 4 = 5
C) 7/-1 -6+-5
D) y/3 -5 =-5

Answer 1

In this question, we analyze various equations to determine which ones have the same solution.

Step-by-step explanation:

In this question, we are given various equations and we need to determine which equations have the same solution.

Let's analyze each equation:

1. A) y - 5 = -7
2. B) -y + 4 = 5
3. C) 7/-1 - 6 + -5
4. D) y/3 - 5 = -5

By solving each equation, we can find their solutions:

1. A) y - 5 = -7. If we add 5 to both sides, we get y = -2.
2. B) -y + 4 = 5. If we subtract 4 from both sides, we get -y = 1. If we multiply both sides by -1, we get y = -1.
3. C) 7/-1 - 6 + -5. Since division should be performed first, 7/-1 is equal to -7. So the equation becomes -7 - 6 + -5. Simplifying further, we get -18. Therefore, the solution is not defined for this equation.
4. D) y/3 - 5 = -5. If we add 5 to both sides, we get y/3 = 0. If we multiply both sides by 3, we get y = 0.

So, the equations that have the same solution are A) y - 5 = -7 and D) y/3 - 5 = -5. Therefore, the correct answer is D.