solve for p
3(p + q) = p
q= -2/3p
q= -3/2p
p= - 2/3q
p= -3/2q
To solve for p in the equation 3(p + q) = p, we can use the distributive property and then isolate the term with p:
3p + 3q = p
2p = -3q
p = -3q/2
To solve for q in the equation q = -2/3p, we can multiply both sides by -3/2:
q*(-3/2) = -2/3p*(-3/2)
q*(-3/2) = p*(-9/2)
-3q/2 = -9p/2
q = -9p/2 * -2/3
q = 3p
Therefore, the correct equation for q in terms of p is q = 3p.
To solve for p in the equation 3(p + q) = p, follow these steps:
Step 1: Distribute the 3 on the left side of the equation:
3p + 3q = p
Step 2: Move all terms with p to one side of the equation by subtracting p from both sides:
3p - p + 3q = 0
Simplifying the equation:
2p + 3q = 0
Step 3: Solve for p by moving the 3q term to the other side by subtracting 3q from both sides:
2p = -3q
Step 4: Divide both sides of the equation by 2 to isolate p:
p = -3q/2
Therefore, the solution for p is p = -3q/2.
To solve for p in the equation 3(p + q) = p, let's go step by step.
Step 1: Distribute the 3 to both p and q in the equation.
3p + 3q = p
Step 2: Group the p terms on one side of the equation and the q terms on the other side.
3p - p = -3q
2p = -3q
Step 3: Divide both sides of the equation by 2 to isolate p.
p = -3q/2
Now you have solved for p. The equation above shows that p is equal to -3/2 times q.