Math help

Can someone check my answers on these? Thank you!!
Solve each system using addition or subtraction.

1. x+y=8
x-y=4
For the solution I got (6,3)
2. x-3y=7
x+2y=2
For the solution I got (4,-1)
3. 5s+2t=6
9s+2t=22
For the solution I got (-4,13)
4. 2x+3y=13
x-3y=2
For the solution I got (5,1)
5. 2m-5n=-6
2m-7n=-14
I got (7,-4)
6. 3r-5s=-35
2r-5s=-30
I need help on this one!!!

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  1. 1. Correct

    2. Correct

    3.


    5 s + 2 t = 6
    -
    9 s + 2 t = 22
    _______________

    - 4 s = - 16 Divide both sides by - 4

    - 4 s / - 4 = - 16 / - 4

    s = 4


    5 s + 2 t = 6

    5 * 4 + 2 t = 6

    20 + 2 t = 6 Subtract 20 to both sides

    20 + 2 t - 20 = 6 - 20

    2 t = - 14 Divide both sides by 2

    2 t / 2 = - 14 / 2

    t = - 7

    The solution ( 4 , - 7 )

    4. Correct

    5.

    2 m - 5 n = - 6
    -
    2 m - 7 n = - 14
    _______________

    2 n = 8 Divide both sides by 2

    2 n / 2 = 8 / 2

    n = 4

    ______________________________________

    Remark :

    - 5 n - ( - 7 n ) = - 5 n + 7 n = 2 n

    - 6 - ( - 14 ) = - 6 + 14 = 8
    _______________________________________

    2 m - 5 n = - 6

    2 m - 5 * 4 = - 6

    2 m - 20 = - 6 Add 20 to both sides

    2 m - 20 + 20 = - 6 + 20

    2 m = 14 Divide both sides by 2

    2 m / 2 = 14 / 2

    m = 7

    The solution ( 7 , 4 )

    6.

    3 r - 5 s = - 35
    -
    2 r - 5 s = - 30
    _______________

    r = - 5


    3 r - 5 s = - 35

    3 * ( - 5 ) - 5 s = - 35

    - 15 - 5 s = - 35 Add 15 to both sides

    - 15 - 5 s + 15 = - 35 + 15

    - 5 s = - 20 Divide both sides by - 5

    - 5 s / - 5 = - 20 / -5

    s = 4

    The solution ( - 5 , 4 )

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    posted by Bosnian

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