solve the following equation algebraically 17=-13-8x
To solve the equation algebraically, we want to isolate the variable x on one side of the equation.
Starting with the given equation: 17 = -13 - 8x
First, let's move the constant term -13 to the other side by adding 13 to both sides of the equation:
17 + 13 = -13 + 13 - 8x
30 = -8x
Next, divide both sides of the equation by -8 to solve for x:
x = 30/-8
Simplifying the right side gives us:
x = -15/4 or x = -3.75
Therefore, the solution to the equation is x = -15/4 or 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 on one side of the equation.
Starting with the given equation: 6 = x + 2/3
First, let's subtract 2/3 from both sides of the equation to isolate the x term:
6 - 2/3 = x + 2/3 - 2/3
18/3 - 2/3 = x
Simplifying the left side gives us:
16/3 = x
So, the solution to the equation is x = 16/3 or x = 5.33.
Solve the following equation algebraically. Show your work.
13+w/7=−18
To solve the equation algebraically, we want to isolate the variable w on one side of the equation.
Starting with the given equation: 13 + w/7 = -18
First, let's subtract 13 from both sides of the equation to isolate the w/7 term:
13 + w/7 - 13 = -18 - 13
w/7 = -31
Next, to get rid of the fraction, we multiply both sides of the equation by 7:
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) on one side of the equation.
Given equation: 17 = -13 - 8x
Step 1: Simplify the equation by adding 13 to both sides:
17 + 13 = -13 + 13 - 8x
30 = -8x
Step 2: Divide both sides of the equation by -8:
30 / -8 = -8x / -8
-3.75 = x
Therefore, the solution to the equation is x = -3.75.
To solve the equation algebraically, we want to isolate the variable 'x' on one side of the equation.
The given equation is:
17 = -13 - 8x
To isolate 'x', we can start by getting rid of the constant term (-13) on the right side of the equation. We can do this by adding 13 to both sides of the equation:
17 + 13 = -13 + 13 - 8x
30 = -8x
Next, we can divide both sides of the equation by -8 to solve for 'x'. This step will remove the coefficient (-8) from the variable 'x':
(30)/(-8) = (-8x)/(-8)
-15/4 = x
Therefore, the value of 'x' that satisfies the equation is x = -15/4 or x = -3.75.
To check our solution, we can substitute x = -15/4 into the original equation:
17 = -13 - 8(-15/4)
17 = -13 + 30/4
17 = -13 + 7.5
17 = 17
Since the left side is equal to the right side, the solution x = -15/4 is correct.