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Rewrite the following equation in standard form–3/10 x−6/7 y =–7/8

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Final answer:

To rewrite the given equation -3/10x - 6/7y = -7/8 in standard form, you need to rearrange the equation so that the variables (x and y) are on the left side and the constant term is on the right side.

Step-by-step explanation:

To rewrite the given equation in standard form, we need to rearrange it so that the variables (x and y) are on the left side and the constant term is on the right side. Here are the steps:

  1. Multiply the equation by the denominators of the fractions to eliminate them. In this case, multiply by 10, 7, and 8 to get rid of the fractions.
  2. Distribute the coefficients to simplify the equation.
  3. Combine like terms to obtain a simplified expression.
  4. Finally, move all the variables to one side and the constant term to the other side.

Applying these steps to the given equation -3/10x - 6/7y = -7/8 gives us the standard form as -21x - 48y = -35.

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