Question
c please! hint below
EQUATIONS OF THE FIRST DEGREE 7.8 the problem of finding all integral so tions of The Hindus solved egers linear equation ax t by c. where a, b c are inte (a) f ax an integral solution, show that th is common divisor of a and b is a theorem says that in generality if we consider a and b to be relatively prime a and b if and ntegral solution are given are relatively prime, show that all integral solutions mb, y y, ma, where m is an arbitrary integer IThis theoret says that all integral solutions are known if just 1 integral s can be found. A simple way of finding 1 integral solution is illustrated in the or Problem Study c c) olve 7x 16y 209 for positive integral solutions Solve 23x 37y 3000 for positive integral solutions.
Explanation / Answer
c) 7x + 16y = 209
Let y = 3
Then 7x + 48 = 209
7x = 161
x = 23
Now to find other solution, add coefficent of x into value of y:
another solution, y = 3 + 7 = 10
Then x = 7
So, two positive solutions are there.
