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Mathematics 16 Online
OpenStudy (anonymous):

If someone helps me ill fan and medal them... please help

OpenStudy (dangerousjesse):

Is it supposed to look like this: \[\frac{ 3x+6 }{ 8 }=\frac{ 7x-1 }{ 6 }\]

OpenStudy (dangerousjesse):

Okay,good.

OpenStudy (dangerousjesse):

Here, solve this: \[\frac{ 3*1+6 }{ 8 } = \frac{ 7*1-1 }{ 6 }\] Then tell me whether or not it's true.

OpenStudy (dangerousjesse):

Yes. Obviously, that's not true, so you can rule out x=1

OpenStudy (dangerousjesse):

The answer can be found by multiplying both sides by two: \[\frac{ 3x+6 }{ 4 }=\frac{ 7x-1 }{ 3 }\]

OpenStudy (dangerousjesse):

Now cross multiply in order to get to this equation: \[3(3x+6)=4(7x-1)\]

OpenStudy (dangerousjesse):

Max made it to this step, then he distributed the 3 on the left and the 4 on the right: \[9x+18=28x-4\]

OpenStudy (dangerousjesse):

would have distributed*

OpenStudy (dangerousjesse):

Now, do you see the difference between our answer and Max's answer?

OpenStudy (dangerousjesse):

Ours:\[9x+18=28x-4\] Max's:\[9x+18=28x-1\]

OpenStudy (dangerousjesse):

Can you handle it from here?

OpenStudy (dangerousjesse):

Max forgot to multiply 4*1 when we cross multiplied, and he just brought the 1 down from the numerator instead.

OpenStudy (dangerousjesse):

Or wait, not when we cross multiplied. He forgot to do that when we distributed and brought the 1 down from our cross multiplication.

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