If # 3a + 1= \frac { 13} { 3}#, what is the value of #3a - 3#?

2 Answers
Apr 6, 2018

The value of #3a-3# is #1/3#.

Explanation:

To get #3a-3#, just subtract #4# from both sides of the equation:

#3a+1=13/3#

#3a+1color(blue)-color(blue)4=13/3color(blue)-color(blue)4#

#3a-3=13/3color(blue)-color(blue)4#

#3a-3=13/3color(blue)-color(blue)(12/3)#

#3a-3=13/3color(blue)-color(blue)(12/3)#

#3a-3=(13color(blue)-color(blue)12)/3#

#3a-3=1/3#

Hope this helped!

Apr 6, 2018

#color(indigo)(=>1/3#

Explanation:

#3a + 1 = 13/3#

#3a = 13/3 - 1#

#3a = (13-3) / 3 = 10/3#

Subtracting 3 on both sides,

#3a - 3 = 10/3 - 3 = (10-9)/3 = 1/3#