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anonymous

  • one year ago

Solve the system of equations? 4x-y=8 and -8x+2y=-5 I think its no solution

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  1. UsukiDoll
    • one year ago
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    solving a system of equations and "all real numbers" are unrelated. However, you can solve these problems by graphing, elimination, substitution, or using matrices.

  2. UsukiDoll
    • one year ago
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    I have to go for a bit... I"ll leave it up to the rest of the helpers on here.

  3. anonymous
    • one year ago
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    I tried using substitution and I got 0x=11 so...

  4. UsukiDoll
    • one year ago
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    we can use elimination method 4x-y=8 (first) -8x+2y=-5 (second) so let's multiply the entire first equation by 2 2(4x-y=8)

  5. anonymous
    • one year ago
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    8x-2y=16?

  6. UsukiDoll
    • one year ago
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    mhm 8x-2y=16 -8x+2y=-5 now what happens if we add?

  7. UsukiDoll
    • one year ago
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    what happens if we add these two equations together?

  8. anonymous
    • one year ago
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    The x's and y's get canceled out

  9. UsukiDoll
    • one year ago
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    yes and we're left with 0 = 11 is that a true statement or a false statement?

  10. anonymous
    • one year ago
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    false

  11. UsukiDoll
    • one year ago
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    yup because 0 is NEVER EQUAL to 11 when the x and y values cancel out, we have an inconsistent system. An inconsistent system means that there is no solution There is no x and no y value that will satisfy these equations. So we're done. :)

  12. anonymous
    • one year ago
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    Thank you

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