Solve the following equation algebraically.
Show your work.
17 = -13 - 8x
To solve the equation algebraically, we want to isolate the variable x.
First, we will add 13 to both sides of the equation to move the constant term (-13) to the right side.
17 + 13 = -13 + 13 - 8x
30 = -8x
Next, we will divide both sides of the equation by -8 to solve for x.
30 / -8 = -8x / -8
-3.75 = x
Therefore, the solution to the equation is x = -3.75.
Solve the following equation algebraically.
Show your work.
6 = x+2/3
To solve the equation algebraically, we want to isolate the variable x.
First, we will subtract 2/3 from both sides of the equation to move the constant term (2/3) to the right side.
6 - 2/3 = x + 2/3 - 2/3
18/3 - 2/3 = x
Next, we will simplify the left side of the equation.
16/3 = x
Therefore, the solution to the equation is x = 16/3.
Solve the following equation algebraically.
Show your work.
13 + w/7 = -18
To solve the equation algebraically, we want to isolate the variable w.
First, we will subtract 13 from both sides of the equation to move the constant term (13) to the right side.
13 + w/7 - 13 = -18 - 13
w/7 = -31
Next, we will multiply both sides of the equation by 7 to solve for w.
7 * (w/7) = -31 * 7
w = -217
Therefore, the solution to the equation is w = -217.
To solve the equation algebraically, we need to isolate the variable x. Here's the step-by-step solution:
1. Start with the equation: 17 = -13 - 8x.
2. Move the constant term (-13) to the other side of the equation by adding 13 to both sides:
17 + 13 = -13 + 13 - 8x.
Simplifying both sides, we get:
30 = -8x.
3. Divide both sides of the equation by -8 to isolate x:
30 ÷ -8 = (-8x) ÷ -8.
Simplifying, we have:
-3.75 = x (or x = -3.75).
Therefore, the solution to the equation is x = -3.75.
To solve the equation algebraically, we need to isolate the variable, x.
Step 1: Combine the like terms on the right side of the equation.
-13 - 8x = 17
Step 2: Move the constant term (-13) to the other side of the equation by adding 13 to both sides.
-8x = 17 + 13
-8x = 30
Step 3: Divide both sides of the equation by -8 to solve for x.
-8x / -8 = 30 / -8
x = -3.75
The solution to the equation is x = -3.75.
To double-check the solution, substitute x = -3.75 back into the original equation:
17 = -13 - 8(-3.75)
17 = -13 + 30
17 = 17
Since both sides of the equation are equal, the solution is correct.