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mitchelsewbaran

  • 3 years ago

If the 2 lines given by the equations 12x+3y=20 and ax+y=10 don't intersect when graphed, what is the value of "a"?

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  1. sasogeek
    • 3 years ago
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    if they don't intersect, it means they're parallel and their gradient is the same. find the gradient of the first equation and that's equal to "a" :)

  2. zzr0ck3r
    • 3 years ago
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    set both equal to y, and make them have the same slope

  3. zzr0ck3r
    • 3 years ago
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    as long as they dont have the same y intercept they will not cross if they have the same slope

  4. zzr0ck3r
    • 3 years ago
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    3y = 20 -3x y = -x-(20/3) and the other equation set to y is what?

  5. zzr0ck3r
    • 3 years ago
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    @mitchelsewbaran ?

  6. mitchelsewbaran
    • 3 years ago
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    hmmm.....

  7. zzr0ck3r
    • 3 years ago
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    that should be +(20/3)

  8. zzr0ck3r
    • 3 years ago
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    y = -x+(20/3)

  9. zzr0ck3r
    • 3 years ago
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    solve for y in the second equation

  10. zzr0ck3r
    • 3 years ago
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    y = -ax+10 we want them to have the same slope so what does a need to be? y = -x+(20/3) y = -ax+10 a = ?

  11. mitchelsewbaran
    • 3 years ago
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    10?

  12. sasogeek
    • 3 years ago
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    12x+3y=20 solve for y 3y=-12x+20 y=-4x+(20/3) can u tell what the slope is?

  13. sasogeek
    • 3 years ago
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    @mitchelsewbaran ... ?

  14. mitchelsewbaran
    • 3 years ago
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    hold on

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