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3 years ago

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

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

x = 2/3

Step-by-step 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:

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

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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​

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