explain the two different answers you can get when solving an equation and the variable is dropped out.

1 answer:

3 0

To give a simple answer

if you consider the equation to be that of a line.
then if the variables cancel out, then the two lines will have the same slope.

two lines with the same slope fall under two categories. Parallel lines, and lines on top of each other

parallel lines have no solutions since the lines never cross each other
lines on top of each other have infinitely many solutions since they "cross" everywhere on the line

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What is the probability of randomly drawing an odd number between 24 and 33?

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Write out the numbers between 24 and 33: {24, 25, 26, 27, 28, 29, 30, 31, 32, 33}

How many numbers have we here? 10.

How many of these numbers are odd? {25, 27, 29, 31, 33}

Strictly speaking, "between 24 and 33" does not include {24, 33}.

Thus, the odd numbers between 24 and 33 are {25, 27, 29, 31}

The chances of drawing an odd number between 24 and 33 are then 4 / 10.

If, however, we omit the endpoints 24 and 33, then there are 8 numbers between 24 and 33: {25, 27, 29, 31}

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