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anonymous

  • 4 years ago

Solve using linear systems. 2(x-1) - 3(y-3) = 0 3(x+2) - (y-7) = 20

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  1. Mertsj
    • 4 years ago
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    2x-2-3y+9=0 2x-3y=-7 3x+6-y+7=20 3x-y=7

  2. Mertsj
    • 4 years ago
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    So now we have: 2x-3y= -7 3x - y = 7

  3. anonymous
    • 4 years ago
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    yeaa

  4. Mertsj
    • 4 years ago
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    Let's take that second equation and solve it for y. We would get y=3x-7

  5. Mertsj
    • 4 years ago
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    Are you with me so far?

  6. anonymous
    • 4 years ago
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    wouldn't it be -y = -3x + 7

  7. anonymous
    • 4 years ago
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    oh wait.. y = -(-3x+7) = what u said yes go on

  8. Mertsj
    • 4 years ago
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    now multiply by -1 to get y

  9. Mertsj
    • 4 years ago
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    So let's take that value for y which is 3x-7 and put it in the first equation in place of y

  10. Mertsj
    • 4 years ago
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    2x-3y=-7 2x-3(3x-7)=-7

  11. anonymous
    • 4 years ago
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    everything is clear till now

  12. Mertsj
    • 4 years ago
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    2x-9x+21=-7 -7x=-28 x=4 But y = 3x-7 y=3(4)-7 y=12-7 y=5 So the solution of the system is the ordered pair (4,5) and if you graphed the two equations you were given the lines would cross at (4,5)

  13. anonymous
    • 4 years ago
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    damn, tysm

  14. Mertsj
    • 4 years ago
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    you are welcome

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