A teenager asks their friend to solve the equation 3−5k=12
. Their friend claims that subtracting 3
from both sides of the equation and then dividing both sides of the equation by −5
will give the solution to the equation. Are they correct?

Respuesta :

Answer:

Let's see if their friend's method is correct:

Starting with the equation 3 - 5k = 12.

Their friend suggests subtracting 3 from both sides:

(3 - 3) - 5k = 12 - 3

0 - 5k = 9

-5k = 9

Now their friend suggests dividing both sides by -5:

-5k / -5 = 9 / -5

k = -9/5

So their friend claims that k = -9/5 is the solution.

However, their friend's method is incorrect. When dividing both sides of an equation by a negative number, the direction of the inequality changes. In this case, dividing both sides by -5, we get:

(-5k) / -5 = 9 / -5

k = -9/5

The correct solution to the equation 3 - 5k = 12 is k = -9/5.

Answer:

no

Step-by-step explanation:

3-5k=12

-3 from both sides

-5k=9

divide both sides by -5

k=9/-5

k=-9/5