SOLUTION: If ax+3y=5 and 2x+by=3 represent the same straight line, find the exact value of a+b. (i.e.,no decimal answers allowed)

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Question 905380: If ax+3y=5 and 2x+by=3 represent the same straight line, find the exact value of a+b. (i.e.,no decimal answers allowed)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Multiply the first equation by 3%2F5 to match the right hand side of the second equation.
%283%2F5%29%28ax%2B3y%29=5%283%2F5%29
%283%2F5%29ax%2B%289%2F5%29y=3
So then,
%283%2F5%29a=2
a=10%2F3
and
%289%2F5%29=b
b=9%2F5
Then,
a%2Bb=10%2F3%2B9%2F5
a%2Bb=%2810%2F3%29%285%2F5%29%2B%289%2F5%29%283%2F3%29
a%2Bb=50%2F15%2B27%2F15
highlight%28a%2Bb=77%2F15%29