please explain the method of solving:
37 - p = 28 + 4p
To solve the equation 37 - p = 28 + 4p, follow these steps:
Step 1: Group the variables on one side of the equation. Add p to both sides to move all terms with p to the left side:
37 - p + p = 28 + 4p + p
Simplifying this equation:
37 = 28 + 5p
Step 2: Isolate the term with the variable. To do this, subtract 28 from both sides of the equation:
37 - 28 = 28 + 5p - 28
Simplifying:
9 = 5p
Step 3: To solve for p, divide both sides of the equation by 5:
9/5 = (5p)/5
Simplifying:
9/5 = p
Therefore, the solution to the equation 37 - p = 28 + 4p is p = 9/5.
To solve the equation 37 - p = 28 + 4p, we can follow these steps:
Step 1: Combine like terms
Combine the variable terms (terms with 'p') on one side of the equation, and the constant terms on the other side.
37 - p - 4p = 28
Step 2: Simplify the equation
To simplify the equation, you can combine the like terms.
37 - 5p = 28
Step 3: Isolate the variable
To isolate the variable (p) on one side of the equation, we need to get rid of the constant term or coefficient in front of it. In this case, we have -5p, and we want just p. We can achieve this by performing some inverse operations.
First, let's eliminate the constant term by subtracting 37 from both sides of the equation.
37 - 37 - 5p = 28 - 37
-5p = -9
Step 4: Solve for the variable
To solve for p, divide both sides of the equation by the coefficient in front of p, which is -5.
(-5p) / -5 = -9 / -5
p = 9/5
So, the solution to the equation 37 - p = 28 + 4p is p = 9/5.
37 - p = 28 + 4p
We need to get the known quantities on one side of the equation and the unknowns on the other.
Add p to both sides. Subtract 28 from both sides.
37 - 28 = 5p
9 = 5p
9/5 = p
1 4/5 = p