1/3p+7=12-2/3p
is the answer -5?
No. p = 5
1/3p+7=12-2/3p
1/3p + 2/3p = 12 - 7
p = 5
thanks, I got negative 5 because I had it written in my final step as 7-12
You're welcome.
To solve the given equation: 1/3p + 7 = 12 - 2/3p, we need to isolate the variable "p" on one side of the equation.
Let's begin by getting rid of the fractions in the equation. We can do this by multiplying every term by the least common multiple (LCM) of the denominators, which in this case is 3.
Multiply both sides of the equation by 3 to eliminate the fractions:
3 * (1/3p + 7) = 3 * (12 - 2/3p)
This simplifies to:
1p + 21 = 36 - 2p
Next, let's group the "p" terms on one side of the equation:
1p + 2p = 36 - 21
Combining like terms:
3p = 15
To isolate the "p" variable, we want to get rid of the coefficient of 3. Divide both sides of the equation by 3:
(3p)/3 = 15/3
Simplifying:
p = 5
Therefore, the answer to the equation 1/3p + 7 = 12 - 2/3p is p = 5, not -5.