Question

Subject: Mathematics

Solve 9x + 3y = 15 for y.
a) y = -3x + 15
b) y = 9x + 15
c) y = -3x + 5
d) y = -9x + 5

Answer 1

To solve for y in the equation 9x + 3y = 15, subtract 9x from both sides and then divide by 3. This simplifies to y = -3x + 5, which matches answer choice d).

Step-by-step explanation:

To solve the equation 9x + 3y = 15 for y, you need to isolate y on one side of the equation. Here are the steps you would follow:

1. 
   
3. Subtract 9x from both sides of the equation to get 3y = 15 - 9x.
4. 
   
6. Divide both sides of the equation by 3 to solve for y, which gives y = (15 - 9x) / 3.
7. 
   
9. Simplify the equation to get y = -3x + 5.

Therefore, the correct answer is d) y = -3x + 5.