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anonymous

  • one year ago

What is the value of the x variable in the solution to the following system of equations? 2x + 2y = 6 x + 3y = −1 a. −2 b. 2 c. 5 d. −5

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  1. anonymous
    • one year ago
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    Can someone please walk me through how to do this

  2. SolomonZelman
    • one year ago
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    first equation times 3 and second equation times -2 (2x + 2y = 6) × 3 (x + 3y = −1) × (-2) this will get you a new (but equivalent to the previous) system of equations. 6x + 6y = 18 -2x - 6y = 2 now add the equations and solve for x

  3. anonymous
    • one year ago
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    So you just take one of the equations and multiply it to the other equation?

  4. triciaal
    • one year ago
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    first equation divide each term by 2

  5. anonymous
    • one year ago
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    Would it be x+y=6 then?

  6. SolomonZelman
    • one year ago
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    I didnàt multiply equation times equation, all I did is that I multiplied each term in the equation times some number.... i did this for both of the equations, and choose the numbers by which to multiply in a way that would eliminate the y (since the variable you need is x).

  7. anonymous
    • one year ago
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    So you would come up with 6x+6y= 18? for the first equation and -2x+-6=2?

  8. SolomonZelman
    • one year ago
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    -2x - 6y = 2 for the second equation, you meant (right ?)

  9. anonymous
    • one year ago
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    Sorry yes thats what I meant

  10. SolomonZelman
    • one year ago
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    yes, that is what you inded come up with.

  11. SolomonZelman
    • one year ago
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    itàs ok...)

  12. SolomonZelman
    • one year ago
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    Now, add the equations

  13. SolomonZelman
    • one year ago
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    6x + 6y = 18 -2x - 6y = 2

  14. anonymous
    • one year ago
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    Okay so it would be 4x + 18y = 20?

  15. anonymous
    • one year ago
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    Oh wait 12y*

  16. SolomonZelman
    • one year ago
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    18y?

  17. SolomonZelman
    • one year ago
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    no, not 12. when you add 6 and -6 you get 6+(-6)=6-6=0 and so when you add 6y and -6y you get (6y)+(-6y)=??

  18. anonymous
    • one year ago
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    Oh so it would be 4x = 20?

  19. SolomonZelman
    • one year ago
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    so x is?

  20. anonymous
    • one year ago
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    5?

  21. SolomonZelman
    • one year ago
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    yes, that is correct!

  22. anonymous
    • one year ago
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    Thank you so much! That makes a lot more sense now!

  23. SolomonZelman
    • one year ago
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    very nice to hear that... you are welcome!

  24. triciaal
    • one year ago
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    |dw:1439481250954:dw|

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