Question

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 1

Step-by-step explanation:

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

Answer 2

Answer:

x = 2

Given :

a × b = 2a + 2b - ab

4 × 3 = 2 × 4 + 2 × 3 - 4 × 3 = 2 .

3 × x = 2 × x

To find: value of x

Solution:

According to the given examples (3 × x) can be written as :

(3 × x) = (2 × 3) + (2 × 6) - (3 × x)

the detail given is (3 × x) = (2 × x)

So, (2 × x) = ( 2 × 3) + ( 2 × x) - (3 × x)

= (2 × x ) - (2 × x) = (2 × 3) - (3 × x)

= (2 × 3) - (3 × x) = 0

= 6 = 3 × x

= 6 / 3 = x

= x = 2

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