if x=2 a+1 and y=a-1 is the solution of the equation 2x-3y+5=0 find vue of a.
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Answer:
Substituting x = 2 α + 1 and y = α – 1 in 2x – 3y + 5 = 0. Therefore, the value of α is –10.
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x = 2a + 1 & y = a - 1
2x - 3y + 5 = 0
2(2a + 1) - 3(a-1) + 5 = 0
4a + 2 - 3a + 3 + 5 = 0
4a -3a + 2 + 3 + 5 = 0
a + 10 = 0
a = -10
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