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.
17=−13−8x
(1 point)
To solve the equation algebraically, we need to isolate the variable, which in this case is x.
First, we subtract -13 from both sides of the equation:
17 - (-13) = -8x
17 + 13 = -8x
30 = -8x
Next, we divide both sides of the equation by -8 to solve for x:
30 / -8 = x
-3.75 = x
Therefore, the solution to the equation is x = -3.75.
To solve the equation algebraically, we need to isolate the variable x.
First, we can start by getting rid of the constant term -13 on the right side by adding 13 to both sides of the equation:
17 + 13 = -13 - 8x + 13
This simplifies to:
30 = -8x
Next, we divide both sides of the equation by -8 to solve for x:
30 / -8 = -8x / -8
Simplifying further, we get:
-15/4 = x
Therefore, the solution to the equation 17 = -13 - 8x is x = -15/4.
To solve the equation algebraically, we need to isolate the variable x.
Here are the steps to solve the equation:
Step 1: Start with the given equation: 17 = -13 - 8x.
Step 2: Simplify the equation by adding 13 to both sides to move the constant term to the other side of the equation: 17 + 13 = -13 + 13 - 8x.
This simplifies to: 30 = -8x.
Step 3: Divide both sides of the equation by -8 to isolate x. This is done because -8 is multiplied by x and we want to remove the multiplication by division.
So, 30 / -8 = -8x / -8.
This simplifies to: -3.75 = x.
Step 4: Therefore, the solution to the given equation is x = -3.75.
Explanation:
In this problem, we used algebraic techniques to isolate the variable x on one side of the equation. By performing the same operation to both sides of the equation, we ensured that the equation remained balanced.
We simplified the equation by adding 13 to both sides to move the constant term, -13, to the right side of the equation. This allowed us to get the expression -8x isolated on the left side.
Finally, we divided both sides of the equation by -8 to solve for x. This was done to remove the multiplication of -8 with x. The result was x = -3.75, which means that substituting x with -3.75 in the original equation would make it true.