Find whether the given equation have x = 2, y = 1 as a solution:
2x – 3y = 1
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★ Given...✒
Find whether the given equation have x = 2, y = 1 as a solution:
2x – 3y = 1
★ Solution...✒
We have,
8x - ay + a² = 0.....(i)
It is given that x = 1 and y = 6 is a solution of the equation 8x - ay + a² = 0
We get,
8 (1) - a (6) + a² = 0
➞ 8 - 6a + a² = 0
➞ a² - 6a + 8 = 0
➞ a² - 4a - 2a + 8 = 0
➞ a(a - 4) - 2(a - 4) = 0
➞ (a - 4)(a - 2) = 0
➞ a - 4 = 0 or, a - 2 = 0
➞ a = 4 or, a = 2
Hence, a = 4 or, a = 2.
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