Question

Define a *b=2(a+b)+2a, where a, b are any two number ,if 3*x=4 then x=?

Answer 1

`"There is one solution:" \qquad \qquad \quad x = -4.`

Explanation:

`"We are given to solve:"`

`\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad 3 "*" x = 4.`

`:. "by definition of the operation * :" \qquad \quad 2 ( 3 + x ) +2 (3) = 4.`

`:. \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ 6 + 2 x + 6 = 4`

`:. \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ \ \ 2 x + 12 = 4`

`:. \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ 2 x = -8`

`:. \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \ \ \ x = -4.`

`"This is our solution."`