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Answer:
2x+3y = 7 ........(i)
2alpha x+(alpha + beta)y = 28 ........(ii)
that a1 = 2, b1 = 3, c1 = -7
and a2 = 2 alpha, b2 = alpha + beta, c2 = -28
Using Infinity many solution,
a1/a2 = b1/b2 = c1/c2
2/2alpha = 3/alpha + beta = -7/-28
2/2alpha = 7/28
2/2alpha = 1/4
2alpha = 8
alpha = 4
3/alpha + beta = 1/4
alpha + beta = 12 .........{ alpha = 4
4+ beta = 12
beta = 12-4
beta = 8
Hence, the value of alpha = 4, beta = 8.
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