Question

|3h+1|=7h can someone explain how to do this

Answer 1

|3h+1|=7h
-3h. -3h
1= 4h
1/4=h
|3h+1|=-7h
-3h. -3h
1=-10h
-1/10=h

Its absolute value so you have to make the expression positive and negative

Answer 2

Answer:

h = 2 or h = -8/3

Step-by-step explanation:

Given equation,

|3h+1|=7h

3h + 1 = ± 7    (  ∵ |x| = y ⇒ x = ± y )

3h = ± 7 - 1

$h=\frac{\pm 7-1}{3}$

$h=\frac{7-1}{3}\text{ or } h=\frac{-7-1}{3}$

$h=\frac{7-1}{3}\text{ or } h=\frac{-7-1}{3}$

$\implies h = \frac{6}{3}=2\text{ or }h=-\frac{8}{3}$