Question:

Help solve 3x + 2y = 14 & 3x - 2 = 10?

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solve system by the addition method

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  1. 3X - 2 = 10  *[+2]

    3X = 12

    X=4

    3X+2Y = 14

    3(4) + 2Y =14  *[-12]

    [12]

    2Y = 2

    Y= 1


  2. solve for x in both equations

    1) 3x+2y=14

    3x=14-2y

    x=(14-2y)/3

    2) 3x-2=10

    3x=12

    x=4

    sub in #2 into #1 to get :

    4=(14-2y)/3

    12=14-2y

    -2=-2y

    y=1

    so x=4 and y=1

    who says hockey players arent smart??? hopefully i can still do this, i mean i am in calc III right now....ahhaha

  3. 3x-2=10

    Add two to both sides to make

    3x=12

    Then divide both sides by 3 to make

    x =4

    Substitute that into the first problem

    3(4)+2y=14

    Multiply 3 times 4

    12 +2y =14

    Subtract 12 from each side

    2y=2

    Divide each side by two

    y=1

    x=4

  4. First solve for x. 3x-2+2=10 + 2. 3x/3=12/3. x=4. Plug the value of x in the first equation. 3(4) + 2y= 14. 12+2y-12=14-12. 2y/2=2/2. y=1, and x=4.  

  5. Have an expansion draft.

  6. Jello?

  7. Wrong... x=-5 and y= 16

    I'd show the work, but I did it in my head

  8. nice hockey question!

    junior hockey starts in 19 days!!

  9. x = 4

    y = 1

  10. Well.....x is 4 and y is 1. Sorry, but i don't remember algebra enough to really do it using the addition method. What I did to solve it though is that if 3x - 2 = 10, then 3x - 2 (+2) = 10 (+2), so 3x = 12 and x = 4. Then I substituted x for 4 in 3x + 2y = 14, to get 12 + 2y = 14. Subtract 12 from both sides to get 2y = 2, and y = 1. I'm not sure if that's really what you were looking for, but at least I gave you the answer, right?

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