Question

Solve for u . - 4u + 38 = 2(u-8) Simplify your answer as much as possible.

Answer 1

Hi there!
Let's solve this equation step by step!

$- 4u + 38 = 2(u - 8)$
First work out the parenthesis, which can for instance be done using rainbow technique.

$- 4u + 38 = 2u - 16$
Subtract 2u from both sides.

$- 6u + 38 = - 16$
Subtract 38 from both sides.

$- 6u = - 54$
And finally divide both sides by -6, in order to isolate the variable u. Remember that dividing a negative by a negative gives a positive outcome.

$u = \frac{ - 54}{ - 6} = 9$
Hence, the answer is u = 9.
~ Hope this helps you!

Answer 2

Hi there!

Simplify th' Eqⁿ :-

- 4u + 38 = 2(u - 8)

- 4u + 38 = 2(u) - 2(8)

- 4u + 38 = 2u - 16

Combine like terms together :-

- 4u - 2u = - 38 - 16

- 6u = - 54

u = $\dfrac {- 54}{- 6}$ = $\dfrac {54}{6}$ = 9

Hence,
The required answer is 9

~ Hope it helps!