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Math Help - Linear Equations - Solving by addition

  1. #1
    tac
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    Linear Equations - Solving by addition

    I have tried to do this problem a minimum of 10 times and come up with different answers each time.

    Solve the linear equation by addition:

    4 (1-x) + y = 3
    3 (1 - y) - 4x = -4y

    4 -4x + y = 3
    3 - 3y - 4x = -4y

    4 -4x + y = 3
    3 -4x - 3y = -4y

    (-1) 3 -(-1)4x - (-1)3y = -4y (-1)

    -3 +4x + 3y = 4y
    4 -4x + y = 3
    1 + 4y = 4y + 3
    -3 -3

    -2 + 4y = 4y
    -4y -4y

    -2 = 0

    Though I have had other answers with y = 2/3, y = 1 and many more. I took a break from this last night hoping I would get a fresh look today but it didn't work.
    Please help! I am stumped on this one.
    Thank you!
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  2. #2
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    Re: Linear Equations - Solving by addition

    since the coefficient of x & y is same
    so you can't solve this equation.................
    thankyou...
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  3. #3
    tac
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    Re: Linear Equations - Solving by addition

    Thank you.

    Just so I understand, because the equation has -4x and -4y, it can never be solved and I didn't need to go on and solve by addition. Just by looking at that would mean there is no solution?

    3 -4x - 3y = -4y
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