solve the following equation algebraically 17=-13-8x

Answer 1

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.

Answer 2

Solve the following equation algebraically. Show your work.
6=x+2/3

Answer 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.

Answer 4

Solve the following equation algebraically. Show your work.
13+w/7=−18

Answer 5

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.