Question

Solve for q

- 3/4q = 12

q = ___

Answer 1

`(-3)/(4q)=12`
Multiply by q to eliminate var in denominator

`( \\ot q*(3))/(4 \\ot q) =q*12`

`q= (-3)/(4) =q*12`
Common denominator is 4

`( \\ot 4(-3))/( \\ot 4) =4q*12`

`-3=4q*12`

`-3=48q`
Divide by 48

`q=( \\ot 3)/( \\ot 4 \\ot 8)`

`q=-16`
The answer is:
`q=-16`

Answer 2

`\text{We know: } \\ \boxed{(\ -3\ )/(\ 4\ )*q=12 } \\ \\ q=12: (\ -3\ )/(\ 4\ ) \\ \\ q=12* (\ 4\ )/(\ -3\ ) \\ \\ q= \frac{\ 48\ } {\ -3\ } \\ \\ q=-16 \\ ********** \\ \\ \text{Check:}\\ \\ \boxed{ (-3)/(4)*-16=12 } \\ \\ (48)/(4) =12 \ TRUE`