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anonymous

  • one year ago

How many solutions will this system of equations have? x - 2y = 24 3x - 6y = 72 A) No solution B) Infinite solutions C) One solution D) Two solutions

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  1. DanJS
    • one year ago
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    hint, multiply the first equation through by 3

  2. DanJS
    • one year ago
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    what do ya notice

  3. anonymous
    • one year ago
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    or solve for x in x - 2y = 24

  4. anonymous
    • one year ago
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    then substitute the x you got in that equation for the x in this equation: 3x−6y=72

  5. anonymous
    • one year ago
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    so if you have solved for x in the first equation I gave you, you should get: x=2y+24

  6. anonymous
    • one year ago
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    So the equation you should get after substituting would be: 3(2y+24)−6y=72

  7. anonymous
    • one year ago
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    then simplify

  8. anonymous
    • one year ago
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    to get 72=72

  9. anonymous
    • one year ago
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    then subtract 72 from each side to get 0=0, which means there are an infinite amount of solutions

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