My equation
Y=4Y+30
I did;
Y-4Y=-3Y
My equation
-3Y=30--->30/-3
I get -10
yet the checking does not work.
Does the negative go on the whole 3Y or just the 3?
Your solution and answer are actually correct. :)
Let's do the checking part:
Y = 4Y + 30
if Y = -10,
-10 = -10(4) + 30
-10 = -40 + 30
-10 = -10
Since both sides of the equation are equal, then Y is indeed equal to -10.
Hope this helps :3
I don't have to make it positive?
No, you don't have to.
30 / 3 = 10
Here, 10 is positive because both 30 and 3 are positive.
30 / -3 = -10
While here, one of them is negative so the answer must also be negative.
*Note that if however, both 30 and 3 are negative, the answer is positive.
To solve the equation Y = 4Y + 30, you correctly started by subtracting 4Y from both sides to isolate the variable Y on one side of the equation:
Y - 4Y = -3Y
Therefore, -3Y = 30 is the correct intermediate step.
To answer your question about the negative sign, it applies to the whole 3Y term. So when you divide both sides of the equation -3Y = 30 by -3, you should divide both -3Y and 30 by -3, like this:
-3Y / -3 = 30 / -3
This simplifies to:
Y = -10
So, you have correctly solved the equation and obtained Y = -10. However, it appears that the checking step you mentioned may be incorrect. Could you please provide more information on how you checked the solution?