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sonja_lee2

  • 3 years ago

what is the x-coordinate of the solution of system of equations? 2x-y=6 y=-3x+19

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  1. JayDS
    • 3 years ago
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    rearrange the equation of 2x-y=6 into terms of y first.

  2. sonja_lee2
    • 3 years ago
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    so y=-2x+6?

  3. JayDS
    • 3 years ago
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    y=2x+6

  4. JayDS
    • 3 years ago
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    2x-y=6 (bring the y to the right hand side so + y on both sides) and also (bring the six to the left hand side by -6 on both sides) 2x-6=y y=2x-6

  5. sonja_lee2
    • 3 years ago
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    ok

  6. JayDS
    • 3 years ago
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    now, solve both equations

  7. JayDS
    • 3 years ago
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    1) y=2x-6 2) y=-3x+19

  8. JayDS
    • 3 years ago
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    tell me what you get for the x value afterwards.

  9. sonja_lee2
    • 3 years ago
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    how though?

  10. JayDS
    • 3 years ago
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    do you know how to solve for both equations?

  11. sonja_lee2
    • 3 years ago
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    no

  12. JayDS
    • 3 years ago
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    okok, let me explain sonja, it's sonja right?

  13. sonja_lee2
    • 3 years ago
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    yes

  14. JayDS
    • 3 years ago
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    1) y=2x-6 2) y=-3x+19 we want to find the x value and to do this we have to get rid of the y value. Since we rearranged the first equation already in terms of y, we can directly solve for x now.

  15. JayDS
    • 3 years ago
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    |dw:1350442906070:dw|

  16. JayDS
    • 3 years ago
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    y-y= 0 2x--3x becomes 2x+3x=5x -6-19=-25 0=5x-25 5x-25=0 5x=25 x=25/5 x=5

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