60.5k views
5 votes
Multi-Step Equation!!

Can someone please explain how to get this step by step?

Multi-Step Equation!! Can someone please explain how to get this step by step?-example-1

1 Answer

5 votes

Answer:


\boxed{\mbox \large a = (9)/(10) = 0.9}

Explanation:

Equation to be solved is

(5)/(3)a + (4)/(5) = a + (7)/(5)

Step 1

Get rid of those annoying denominators by multiplying throughout 15. We choose 15 because it is the lowest common multiple of 3 and 5. Since 3 and are prime numbers the LCM is 3 x 5 = 15


15 \cdot (5)/(3)a +15 \cdot (4)/(5) = 15\cdot a + 15\cdot (7)/(5)}
==>
25a + 12 = 15a + 21}\\

Step 2

Subtract 15 from both sides:

==>
25a -15a + 12 = 15a -15a + 21}\\\\\\ 10a + 12 = 21}\\

Step 3

Subtract 21 from both sides

10a + 12 -12 = 21 - 12\\\\


10a = 9

Step 4

Divide by 10 both sides


(10a)/(10) = (9)/(10)\\\\\implies a = (9)/(10) = 0.9

User RajuPedda
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories