(Multi-Step Linear Equations LC)
Determine the solution for 72 = 3(5b − 1).
To solve the equation 72 = 3(5b - 1), we can start by simplifying the right side of the equation.
First, distribute the 3 to the terms inside the parentheses:
72 = 15b - 3
Next, move the constant term (-3) to the right side by adding 3 to both sides of the equation:
72 + 3 = 15b - 3 + 3
75 = 15b
Now, isolate the variable b by dividing both sides of the equation by 15:
75 / 15 = 15b / 15
5 = b
Therefore, the solution to the equation 72 = 3(5b - 1) is b = 5.
To solve the equation 72 = 3(5b - 1), you can follow these steps:
Step 1: Distribute the 3 to the terms inside the parentheses:
72 = 15b - 3
Step 2: Add 3 to both sides of the equation to isolate the term with b:
72 + 3 = 15b - 3 + 3
75 = 15b
Step 3: Divide both sides of the equation by 15 to solve for b:
75/15 = 15b/15
5 = b
So the solution to the equation is b = 5.
To solve the equation 72 = 3(5b − 1), we need to follow these steps:
Step 1: Distribute the 3 to the terms inside the parentheses.
72 = 15b - 3
Step 2: Simplify the equation by adding 3 to both sides.
72 + 3 = 15b
75 = 15b
Step 3: Divide both sides of the equation by 15.
75 ÷ 15 = b
5 = b
So, the solution to the equation 72 = 3(5b − 1) is b = 5.