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Define a * b = 2a + 2b - ab . For example 4 * 3 = 2 * 4 + 2 * 3 - 4 * 3 = 2 . If 3 * x = 2 * x , then x is( AMTI 2006) ​

Answer»

Step-by-step EXPLANATION:

3 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ but \: 3 \times x = 2 \times x ... given \\ so \: \: 2 \times x = 2 \times 3 + 2 \times x - 3 \times x \\ 2 \times 3 - 3 \times x = 0 \\ 6 = 3 \times x \\ x = \frac{6}{3} = 2 \\ ie \: \: \: x = 2


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