Solve y = - 8 y = - 3/4x - 2

x = 8

Step-by-step explanation:

Solve for x:

-8 = (-3 x) / 4 - 2

Put each term in (-3 x) / 4 - 2 over the common denominator 4: (-3 x) / 4 - 2 = (-8) / 4 - (3 x) / 4:

-8 = (-8) / 4 - (3 x) / 4

(-8) / 4 - (3 x) / 4 = (-3 x - 8) / 4:

-8 = (-3 x - 8) / 4

-8 = (-3 x - 8) / 4 is equivalent to (-3 x - 8) / 4 = - 8:

(-3 x - 8) / 4 = - 8

Multiply both sides of (-3 x - 8) / 4 = - 8 by 4:

(4 (-3 x - 8)) / 4 = - 8*4

(4 (-3 x - 8)) / 4 = 4/4 * (-3 x - 8) = - 3 x - 8:

-3 x - 8 = - 8*4

4 (-8) = - 32:

-3 x - 8 = - 32

Add 8 to both sides:

(8 - 8) - 3 x = 8 - 32

8 - 8 = 0:

-3 x = 8 - 32

8 - 32 = - 24:

-3 x = - 24

Divide both sides of - 3 x = - 24 by - 3:

(-3 x) / (-3) = (-24) / (-3)

(-3) / (-3) = 1:

x = (-24) / (-3)

The gcd of - 24 and - 3 is - 3, so (-24) / (-3) = (-3*8) / (-3*1) = (-3) / (-3) * 8 = 8:

Answer: x = 8