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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​

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2 votes

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

User Todd Deshane
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