The operation * on the set Z of integers is defined by xy = 3x + 2y - 1, x, y E Z. Find the value of x such that x2=5

Question

asked Apr 4, 2022 174k views

1 Answer

Todd Deshane · Answer 1 · 2022-04-09T22:56:30+0000

Answer:

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:

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