Question

Solve the following equation algebraically. Show your work.

17=−13−8x


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

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

Answer 1

1) x = -3.75

2) x = 5.33

3) w = -217

Explanation:

1) 17 = -13 -8x

Rearranging the terms of the equation:

=> 8x = -13-17

=> 8x = -30

Computing the value of x:

=> x = -30/8 = -15/4 = -3.75

So the required value of x is -3.75

2) 6 = x +2/3

Rearranging the terms of the equation:

=> x = 6-2/3

x = (18-2)/3

Simplifying:

x = 16/3 = 5.33

So the required value of x is 5.33

3) 13 + w/7 = -18

Rearranging the terms of the equation:

=> w/7 = -18-13 = -31

Computing the value of w:

=> w = -31 * 7 = -217

So the required value of w is -217

Answer 2

17 = -13 -8x

Add 13 to both sides:

30 = -8x

Divide both sides by -8:

x = 30 / -8

Reduce the fraction by dividing both numbers by 2:

X = -15/4 or - 3 3/4

6 = x +2/3

Subtract 2/3 from both sides:

x = 5 1/3

13 + w/7 = -18

Subtract 13 from both sides:

w/7 = -31

Multiply both sides by 7:

w = -217