Solve the following simultaneous equations
3^x+1 - 2^y+1 = 1
4(3^x) + 3(2^y) = 24
HELP!f.4 MATHS(law of indices)
2012-12-30 1:21 am
回答 (1)
2012-12-30 1:31 am
✔ 最佳答案
Let a=3^x, b=2^y, so the equations become 3a - 2b = 1 . . . .(i)
4a + 3b = 24 . . .(ii)
3*(i) + 2*(ii), get,
9a - 6b + 8a + 6b = 3 + 48
==> 17a = 51
==> a = 3
Sub into (i), get b = 4
Therefore, x = 1, y = 2
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