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Math Help - lines in standard form

  1. #1
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    lines in standard form

    Write each equation in standard form

    2x = -5y + 11


    4x - 7y + 15 = 0


    2x + 10 = 3y - 1


    Can anyone show me how to do these problems step by step?
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  2. #2
    Super Member Aryth's Avatar
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    Quote Originally Posted by Haxcake View Post
    Write each equation in standard form

    2x = -5y + 11


    4x - 7y + 15 = 0


    2x + 10 = 3y - 1


    Can anyone show me how to do these problems step by step?
    Alright, to put it in standard form, you make it look like this:

    Ax + By = C

    Where A, B, and C are real numbers.

    Let's look at the first one:

    2x = -5y + 11

    To put this in standard form all we do is add 5y to both sides:

    2x + 5y = -5y + 11 + 5y

    2x + 5y = 11

    Ax + By = C

    So it checks out.

    Let's look at the second one:

    4x - 7y + 15 = 0

    To put this in standard form all we do is subtract 15 from both sides:

    4x - 7y + 15 - 15 = 0 - 15

    4x - 7y = -15

    Which is the same as

    4x + (-7)y = -15

    Ax + By = C

    So it checks out as well.

    Let's look at the third one:

    2x + 10 = 3y -1

    To put this in standard form, we need to take two steps, first is to bring the y to the same side as the x by subtracting 3y from both sides:

    2x + 10 - 3y = 3y - 1 - 3y

    2x + 10 - 3y = -1

    The second step is getting the 10 out of the side with the x and the y, so we subtract 10 from both sides:

    2x + 10 - 3y - 10 = -1 - 10

    2x - 3y = -11

    Ax + By = C

    So it checks out as well

    2x + (-3)y = -11 is the same as 2x - 3y = -11 if you wanted to show that it still matches the standard form.

    I hope this helps.
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