Apologies for any confusion. Let's go through the steps again to find the value of x when y = 12.
Given: (3x - 4) / (y + 15) = constant
Step 1:
Substitute the values of x = 2 and y = 3 into the equation:
(3(2) - 4) / (3 + 15) = constant
Simplify:
2 / 18 = constant
1 / 9 = constant
So, we have the value of the constant as 1/9.
Step 2:
Now, we need to find the value of x when y = 12.
Substitute y = 12 and the constant value into the equation:
(3x - 4) / (12 + 15) = 1/9
Simplify:
(3x - 4) / 27 = 1/9
To solve for x, we can cross-multiply:
9(3x - 4) = 27 * 1
Expand:
27x - 36 = 27
Add 36 to both sides:
27x = 27 + 36
27x = 63
Divide both sides by 27:
x = 63 / 27
x = 7/3
So, the value of x when y = 12 is 7/3 or approximately 2.33.
Therefore, your original answer of 13 was incorrect. The correct value for x when y = 12 in this problem is 7/3 or approximately 2.33.