Question

How do you solve thie equation 8/k = - 12/30?

Answer 1

Hello!

Answer:

`\Large \boxed{\sf k = -20}`

Explanation:

→ We want to solve this equation:

`\sf (8)/(k) = - (12)/(30)`

◼ Convert the fractions on the same denominator:

`\sf (8 * 30)/(k * 30) = - (12 * k)/(30 * k)`

◼ Simplify both sides:

`\sf (240)/(30k) = - (12k)/(30k)`

◼ Multiply both sides by 30k:

`\sf (240)/(30k) * 30k= - (12k)/(30k) * 30k`

◼ Simplify both sides:

`\sf \240= - 12k`

◼ Divide both sides by -12:

`\sf (240)/(-12) =( - 12k)/(-12)`

◼ Simplify both sides:

`\boxed{\sf k = -20}`

Conclusion:

The solution of the equation 8/k = -12/30 is -20.