Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 13+w/7=−18
To solve the equation algebraically, we need to isolate the variable w.
First, we can start by subtracting 13 from both sides of the equation to get rid of the constant term. This gives us:
w/7 = -18 - 13
Next, we can simplify the right side of the equation by adding -18 and -13:
w/7 = -31
To isolate the variable w, we can multiply both sides of the equation by 7:
7 * (w/7) = 7 * -31
This cancels out the denominator on the left side of the equation, resulting in:
w = -217
Therefore, the solution to the equation is w = -217.
To solve the equation 13 + w/7 = -18 algebraically, follow these steps:
Step 1: Start by isolating the variable term.
Subtract 13 from both sides of the equation:
13 + w/7 - 13 = -18 - 13
w/7 = -31
Step 2: To isolate the variable w, multiply both sides of the equation by 7.
w/7 * 7 = -31 * 7
w = -217
Step 3: Check your solution.
Substitute the value of w (w = -217) back into the original equation:
13 + (-217)/7 = -18
Simplifying,
13 - 31 = -18
Since -18 = -18, the equation is verified.
Therefore, the solution to the equation 13 + w/7 = -18 is w = -217.
To solve the equation 13 + w/7 = -18, follow these steps:
Step 1: Subtract 13 from both sides of the equation to isolate the variable w/7 on one side:
13 + w/7 - 13 = -18 - 13
w/7 = -31
Step 2: Multiply both sides of the equation by 7 to get rid of the fraction on the left side:
(w/7) * 7 = -31 * 7
w = -217
Therefore, the solution to the equation 13 + w/7 = -18 is w = -217.