SOLUTION: A+b+c=30 A+b= 24 B+c=14

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Question 653322: A+b+c=30
A+b= 24
B+c=14
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
A%2Bb%2Bc=30.......1
A%2Bb=+24......2
b%2Bc=14.......3...I assume you have b here too as in previous two equations
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A%2Bb=+24......2...solve for A
A=+24-b.........2a
b%2Bc=14.......3..solve for c
c=14-b.......3a
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A%2Bb%2Bc=30.......1...plug in A from 2a
24-b%2Bb%2Bc=30...cancel b
24-cross%28b%29%2Bcross%28b%29%2Bc=30
24%2Bc=30
c=30-24
highlight%28c=6%29... now go to 3a


c=14-b.......3a..plug in c
6=14-b..solve for b
b=14-6
highlight%28b=8%29.... now go to 2
A%2Bb=+24.......solve for A
A=+24-8
highlight%28A=+16%29