Answer:
0000000000000000000000000
Substitute y = 2x - 4 to x + 2y = 12:
x + 2(2x - 4) = 12 <em>use distributive property</em>
x + (2)(2x) + (2)(-4) = 12
x + 4x - 8 = 12 <em>add 8 to both sides</em>
5x = 20 <em>divide both sides by 5</em>
x = 4
Put the value of x to the first equation:
y = 2(4) - 4
y = 8 - 4
y = 4
<h3>Answer: x = 4 and y = 4</h3>
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The probability of rolling a 5 and rolling an odd number on a die is independent; rolling a 5 does not influence the probability of rolling an odd number the next time.
King or Jack is mutually exclusive; they cannot both happen at the same time.
Club or Queen is not mutually exclusive; they can happen at the same time.
King or Ace is mutually exclusive; they cannot both happen at the same time.