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Write the equation x = -2/7y + 3/4 in standard form

User Npeder
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2 Answers

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Final answer:

To put x = -2/7y + 3/4 into standard form, we multiply by the least common denominator of 7 and 4 to get 28x = -8y + 21, and then we rearrange to 8y + 28x = 21.

Step-by-step explanation:

To convert the equation x = -2/7y + 3/4 into standard form, we want to format it as Ax + By = C, where A, B, and C are integers, and A should be non-negative. We'll need to do a bit of rearrangement and potentially clear the fractions.

  1. Multiply each term by the least common denominator of 7 and 4, which is 28, to eliminate the fractions: 28x = -8y + 21.
  2. Now, we want to move all terms involving variables to one side of the equation and constant terms to the other side: 8y + 28x = 21.
  3. If necessary, we'd simplify further, but since all coefficients are now integers, we are done. The equation in standard form is 8y + 28x = 21.
User Hserge
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standard form is presented as Ax + By = C

all you need to do here is move the y value over to the side with the x value.

so,

x + 2/7y = 3/4
User Rohitkulky
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