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.
6=x+23
(2 points)
To solve the equation 6 = x + 23, we need to isolate the variable x.
To do this, we will perform the inverse operation of addition by subtracting 23 from both sides of the equation:
6 - 23 = x + 23 - 23
This simplifies to:
-17 = x
Therefore, the solution to the equation is x = -17.
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+w7=−18
(2 points)
To solve the equation 13 + w7 = -18, we need to isolate the variable w.
To do this, we will perform the inverse operation of addition by subtracting 13 from both sides of the equation:
13 + w7 - 13 = -18 - 13
This simplifies to:
w7 = -31
Next, we need to isolate the variable w by performing the inverse operation of multiplication. Since the variable is being multiplied by 7, we will divide both sides of the equation by 7:
w7/7 = -31/7
This simplifies to:
w = -31/7
Therefore, the solution to the equation is w = -31/7.
To solve the equation algebraically, follow these steps:
Step 1: Start with the given equation 6 = x + 23.
Step 2: Subtract 23 from both sides of the equation to isolate the variable x:
6 - 23 = x + 23 - 23
Simplifying, we get:
-17 = x
So, the solution to the equation is x = -17.
To solve the equation algebraically, we need to isolate the variable x on one side of the equation.
Here are the steps to solve the equation 6 = x + 23:
Step 1: Start with the original equation: 6 = x + 23.
Step 2: Subtract 23 from both sides of the equation to isolate the x-term: 6 - 23 = x + 23 - 23.
Step 3: Simplify both sides of the equation: -17 = x.
Step 4: The solution to the equation is x = -17.