Solve the following equation algebraically. Show your work. 13+w/7=−18
First, let's get rid of the fraction by multiplying every term by 7:
7*(13 + w/7) = 7*(-18)
91 + w = -126
Next, subtract 91 from both sides of the equation to isolate the variable w:
91 + w - 91 = -126 - 91
w = -217
So the solution to the equation is w = -217.
To solve the equation algebraically, we'll isolate the variable w. Here are the steps:
Step 1: Start with the given equation: 13 + w/7 = -18.
Step 2: Subtract 13 from both sides of the equation to move the constant term to the right side:
13 + w/7 - 13 = -18 - 13.
This simplifies to:
w/7 = -31.
Step 3: Multiply both sides of the equation by 7 to eliminate the fraction:
7 * (w/7) = -31 * 7.
This simplifies to:
w = -217.
Step 4: The solution to the equation is w = -217.
To solve the equation algebraically, we need to isolate the variable 'w'. Here's how we can do that step by step:
Step 1: Start by subtracting 13 from both sides of the equation to move the constant term to the other side:
13 + w/7 = -18
13 - 13 + w/7 = -18 - 13
w/7 = -31
Step 2: To eliminate the fraction, we can multiply both sides of the equation by 7:
7 * (w/7) = 7 * (-31)
w = -31 * 7
w = -217
Therefore, the solution to the equation is w = -217.
By following these steps, we effectively isolated the variable 'w' and found its value.