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3A + 5B = -12 wA - 15B = 6 multiply the first equation by 3, and add it to the second equation: 3(3A + 5B) = 3(-12) so: 9A + 15B = -36 + wA - 15B = 6 gives (9+w)A = -30 This has no solution when 9+w = 0, as that would give: 0A = -30 or 0 = -30. so solve 9+w = 0 for w.
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