SOLUTION: The three sides of an equilateral triangle are 4a and 3b and a+b+c. That is: 4a = 3b = a+b+c Solve for a and b.

Algebra ->  Linear-equations -> SOLUTION: The three sides of an equilateral triangle are 4a and 3b and a+b+c. That is: 4a = 3b = a+b+c Solve for a and b.      Log On


   

Question 960221:
The three sides of an equilateral triangle are 4a and 3b and a+b+c.
That is: 4a = 3b = a+b+c
Solve for a and b.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.4a=3b
.
.
4a=a%2Bb%2Bc%7D%7D%5D%0D%0A2.%7B%7B%7B3a=b%2Bc
From eq. 1,
12a=9b
From eq. 2,
12a=4b%2B4c
Subtract the two equations,
12a-12b=9b-4b-4c
5b-4c=0
5b=4c
highlight%28b=%284%2F5%29c%29
Then,
4a=3%284%2F5%29c
highlight%28a=%283%2F5%29c%29