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anonymous

  • 4 years ago

Write a system of two equations using x and y for the following problem: The sum of two numbers is 170 and their difference is 26. Find the two numbers.

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  1. Mertsj
    • 4 years ago
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    x+y=170 x-y=26

  2. Mertsj
    • 4 years ago
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    Add the two equations. Can you do that?

  3. anonymous
    • 4 years ago
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    I think so.

  4. anonymous
    • 4 years ago
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    Solve for one variable in one of his equations above and substitute that variable into the other equation.

  5. anonymous
    • 4 years ago
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    substitute that solution for that variable in the other*

  6. Mertsj
    • 4 years ago
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    Did you get it?

  7. anonymous
    • 4 years ago
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    No.

  8. Mertsj
    • 4 years ago
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    What did you get when you added the two equations?

  9. anonymous
    • 4 years ago
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    How do I add them?

  10. Mertsj
    • 4 years ago
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    I will show you. Watch

  11. anonymous
    • 4 years ago
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    ok.

  12. Mertsj
    • 4 years ago
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    |dw:1327681559717:dw|

  13. anonymous
    • 4 years ago
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    so is that xy+0= 196?

  14. anonymous
    • 4 years ago
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    thats a 2x

  15. Mertsj
    • 4 years ago
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    x+x=2x

  16. anonymous
    • 4 years ago
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    Oh ok.

  17. Mertsj
    • 4 years ago
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    y+-y=0

  18. anonymous
    • 4 years ago
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    You can use substitution here. Solve for x in terms of y in one equation

  19. anonymous
    • 4 years ago
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    for instance, x-y = 26 x= y + 26

  20. anonymous
    • 4 years ago
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    Is this exact question standard in this year's text books or something?

  21. Mertsj
    • 4 years ago
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    Ok. These other guys want to help you now. I'm outta here.

  22. anonymous
    • 4 years ago
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    Then plug this into the other equation. (y+26)+y=170 2y = 26 = 170 y = (170-26)/2 y=72

  23. anonymous
    • 4 years ago
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    Then you can plug this 72 into the other equation x = y + 26 x = 72 + 26 = 98

  24. anonymous
    • 4 years ago
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    so X = 98?

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