Question

The operation * on the set Z of integers is defined by x*y = 3x + 2y - 1, x, y E Z. Find the value of x such that x*2=5​

Answer 1

x = 2/3

Explanation:

Let's unpack the equation
`x*2=5` from our definition of
`*`:

`x*2=3x+2(2)-1=5` (where
`x\in \mathbb{Z}`)

Now that we've got things defined in terms of familiar operations, we can simplify and solve for x:

`3x+2(2)-1=5\\3x+4-1=5\\3x+3=5\\3x=2\\x=2/3`