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anonymous

  • one year ago

Ralph wants to find the solution to a system of equations using y = x - 2 and y = x2 + 6x - 38. Joey says that Ralph can solve x2 + 5x - 36 = 0 to find the x-coordinates of the solutions to his system. Explain and demonstrate why Joey is correct.

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  1. whpalmer4
    • one year ago
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    We have two equations: \[y = x-2\]\[y=x^2+6x-38\] Left side of both equations are identical. What does that imply about the right side of both equations?

  2. anonymous
    • one year ago
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    They could be set equal to each other?

  3. whpalmer4
    • one year ago
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    Yes! And what do you get if you do that, and then move everything to the same side of the equals sign?

  4. anonymous
    • one year ago
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    x-2=x^2+6x-38 +2 +2 x=x^2+6x-36 -x -x 0=x^2+5x-36 .. is that right?

  5. whpalmer4
    • one year ago
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    Yes.

  6. anonymous
    • one year ago
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    Okay thank youuu!

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