MATH SOLVE

2 months ago

Q:
# What is the value of x in the equation -6/7 equals x/84

Accepted Solution

A:

Solve for x:

(-6)/7 = x/84

(-6)/7 = x/84 is equivalent to x/84 = (-6)/7:

x/84 = -6/7

Multiply both sides of x/84 = (-6)/7 by 84:

(84 x)/84 = (-6×84)/7

(84 (-6))/7 = (84 (-6))/7:

(84 x)/84 = (-6×84)/7

(84 x)/84 = 84/84×x = x:

x = (-6×84)/7

7 | 1 | 2

| 8 | 4

- | 7 |

| 1 | 4

- | 1 | 4

| | 0:

x = -612

12 (-6) = -72:

Answer: x = -72

(-6)/7 = x/84

(-6)/7 = x/84 is equivalent to x/84 = (-6)/7:

x/84 = -6/7

Multiply both sides of x/84 = (-6)/7 by 84:

(84 x)/84 = (-6×84)/7

(84 (-6))/7 = (84 (-6))/7:

(84 x)/84 = (-6×84)/7

(84 x)/84 = 84/84×x = x:

x = (-6×84)/7

7 | 1 | 2

| 8 | 4

- | 7 |

| 1 | 4

- | 1 | 4

| | 0:

x = -612

12 (-6) = -72:

Answer: x = -72