Question

4∣3c+5∣=16c I know the answer is five but I don't know how to get there

Answer 1

Answer:

$c = 5$, explanation for how to get there

Step-by-step explanation:

If we have the equation $4|3c+5| = 16c$, we want to isolate c on one side and find it's value.

Let's first divide both sides by 4.

$4|3c+5|\div4 = 16c\div4\\\\|3c + 5| = 4c$

Now let's solve for the absolute value. We know that:

$3c + 5 = 4c$

or

$3c + 5 = -4c$

Possibility 1:

$3c + 5 = 4c$

Subtract 3c from both sides:

$5 = c$

Possibility 2:

$3c + 5 = -4c$

Add 4c to both sides:

$7c + 5 = 0$

Subtract 5 from both sides:

$7c = -5$

Divide both sides by 7:

$c = \frac{-5}{7}$

Plugging both of these values into the equation, we can see that only 5 works.

Hope this helped!