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automaticloveletter

  • one year ago

Consider the following pair of equations: y = x + 4 y = −2x − 2 Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.

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  1. Mehek14
    • one year ago
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    ok first step you can substitute x + 4 into y for the second equation

  2. Mehek14
    • one year ago
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    so instead of y in the second equation, you would have \(x+4=-2x-2\)

  3. Mehek14
    • one year ago
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    now we can combine like terms add \(x+2x=\)? @automaticloveletter

  4. Mehek14
    • one year ago
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    what do you get?

  5. automaticloveletter
    • one year ago
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    uhh I have no clue but 6? :/ I know i'm wrong

  6. Mehek14
    • one year ago
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    no imagine x = \(1x\) what is \(1x+2x=1+2=?\)

  7. automaticloveletter
    • one year ago
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    3

  8. Mehek14
    • one year ago
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    so \(3x\)

  9. Mehek14
    • one year ago
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    now you have \(3x+4=-2\)

  10. Mehek14
    • one year ago
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    now subtract \(-2-4=\)?

  11. automaticloveletter
    • one year ago
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    -6

  12. Mehek14
    • one year ago
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    \(3x=-6\) divide \(\dfrac{-6}{3}\)

  13. automaticloveletter
    • one year ago
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    -2

  14. Mehek14
    • one year ago
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    so x = -2

  15. Mehek14
    • one year ago
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    now let's use the first equation and put -2 for x \(y=-2+4\\-2+4=?\)

  16. automaticloveletter
    • one year ago
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    2

  17. Mehek14
    • one year ago
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    so y = 2 your answer is \((-2,2)\)

  18. automaticloveletter
    • one year ago
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    thank you for explaining

  19. Mehek14
    • one year ago
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    your welcome \(\ddot\smile\)

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