Question

How do you solve |5n−25|=10?

Answer 1

Answer : n1 = 3, n2 = 7

Step by step explanation :

$|5n - 25| = 10$

Rewrite the absolute value equation as two separate equations, one positive and the other negative.

$= > 5n - 25 = 10 \: \: \: - eq1\\ \: \: \: \: \: \: \: 5n - 25 = - 10 \: \: - eq2$

Solve equation 1 for n

Move constant to the right side and change its sign.

$= > 5n = 10 + 25$

Add the numbers

$= > 5n = 35$

Divide both sides of the equation by 5.

$= > n = 7$

Solve equation 2 for n

Move constant to the right side and change its sign.

$= > 5n = - 10 + 25$

Calculate the sum

$= > 5n = 15$

Divide both sides of the equation by 5.

$= > n = 3$

The final solutions are

$= > n1 = 3 \\ \: \: \: \: \: \: \: \: n2 = 7$