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Math Help - Solve the equation

  1. #1
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    Solve the equation

    6x - 2y = 4; (1,1) (2,4)
    Show that the two ordered pairs are solutions to the given equation.

    When I solved the soultions were 4, please help.
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  2. #2
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    Quote Originally Posted by armygirltiff View Post
    6x - 2y = 4; (1,1) (2,4)
    Show that the two ordered pairs are solutions to the given equation.

    When I solved the soultions were 4, please help.
    The solutions were 4 what?
    6x - 2y = 4

    Let's try (1, 1) first.
    6(1) - 2(1) = 4

    6 - 2 = 4

    4 = 4 Check!

    You put in the (2, 4) point. If the left hand side comes out to be 4 then the point satisfies the equation.

    -Dan
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  3. #3
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    By solve the equation it means rewrite the equation so that y is by itself on one side of the equal sign and everything else is on the other side. Do that first, then plug in your ordered pairs (x,y).

    6x - 2y = 4 this is what you are given

    -2y = 4-6x subtract 6x from both sides

    y = 3x-2 divide both sides by -2.

    For the second ordered pair (2,4) plug the x-value (2) wherever you see x and see if you get the y-value (4).

    y = 3x-2 = 3(2)-2 = 6-2 = 4.
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  4. #4
    Behold, the power of SARDINES!
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    Quote Originally Posted by armygirltiff View Post
    6x - 2y = 4; (1,1) (2,4)
    Show that the two ordered pairs are solutions to the given equation.

    When I solved the soultions were 4, please help.
    To shown an ordered pair is a solution we need to evaluate and see if you get a true statement.


    for the first one x=1 and y=1 so

    6(1)-2(1) \underbrace{=}_{\mbox{is this true}}4 So we simplify and see

    4=4 so yes it is a solution.

    For the next one x=2 y=4

    6(2)-2(4) \underbrace{=}_{\mbox{is this true}}4 So we simplify and see

    4=4 so this is also a solution.
    I hope this clears it up.

    Good luck
    B
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  5. #5
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    Quote Originally Posted by armygirltiff View Post
    6x - 2y = 4; (1,1) (2,4)
    Show that the two ordered pairs are solutions to the given equation.

    When I solved the soultions were 4, please help.
    Armygirl,

    You are essentially checking to see if a point lies on a line equation.

    Go here:

    Determine if a point lies on a line

    Try both points and it will show you the math work how to solve these proving that both points lie on the line.

    Edit: I just saw i knowone's post just now.
    Last edited by mathceleb; March 27th 2008 at 11:33 AM.
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