Please answer question number 35.
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Heya
Two linear equations will have infinite solutions when
a1/a2 = b1/b2 = c1/c2
2/p+q = 3/2p-q
4p-2q = 3p+3q
4p-2q-3p-3q = 0
p-5q = 0.....(1)
2/p+q = 9 / 3(p+q+1)
2(p+q+1) = 3(p+q)
2p+2q+2-3p-3q = 0
-p -q = -2.......(2)
(1)+(2)
p - 5q = 0
-p-q = -2
=> -6q = -2
q = 1/3
Substituting q= 1/3 in (1)
p -5(1/3) = 0
p = 5/3
Hope it helps ^_^
Two linear equations will have infinite solutions when
a1/a2 = b1/b2 = c1/c2
2/p+q = 3/2p-q
4p-2q = 3p+3q
4p-2q-3p-3q = 0
p-5q = 0.....(1)
2/p+q = 9 / 3(p+q+1)
2(p+q+1) = 3(p+q)
2p+2q+2-3p-3q = 0
-p -q = -2.......(2)
(1)+(2)
p - 5q = 0
-p-q = -2
=> -6q = -2
q = 1/3
Substituting q= 1/3 in (1)
p -5(1/3) = 0
p = 5/3
Hope it helps ^_^
ursamajor:
The method is absolutely correct but the answer should be p=5 and q=1.
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