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Geniu Group Title

Write y = –2/3(Two thirds) + 7 in standard form using integers. A. 2x + 3y = 21 B. 3x – 2y = 21 C.–2x – 3y = 21 D.–2x + 3y = 7 @LogicalApple I Promise I'll stop bugging you soon.

  • one year ago
  • one year ago

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  1. LogicalApple Group Title
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    y = -2/3 x + 7 To write in standard form, first get rid of all the fractions. In this case there is only one fraction to get rid of. To get rid of it, multiply everything by 3. Once you do that, then bring the variables over on one side of the equation.

    • one year ago
  2. Geniu Group Title
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    –2x – 3y = 21, is this correct? @LogicalApple

    • one year ago
  3. LogicalApple Group Title
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    Almost. If we multiply everything by 3 we obtain: 3y = -2x + 21 What happens when we add 2x to both sides?

    • one year ago
  4. Geniu Group Title
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    I don't know, sadly, could you explain?

    • one year ago
  5. LogicalApple Group Title
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    If we add 2x to both sides then we get: 3y + 2x = -2x + 2x + 21 3y + 2x = 21 And this is the same as A

    • one year ago
  6. Geniu Group Title
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    I don't really understand adding 2 to both sides got that. Or how you even added 2 to both sides.

    • one year ago
  7. LogicalApple Group Title
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    We didn't add 2, we added "2x". I did this so that the "-2x" will cancel on the right side, leaving 0 + 21. But what we do to one side we do to the other. So we add +2x to the left side. This gives us 3y + 2x on the left side and 21 on the right side.

    • one year ago
  8. Geniu Group Title
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    @LogicalApple Here is another question exactly the same as this, but without fractions. Write y = –0.5x + 0.8 in standard form using integers. Would the answer be 5x + 10y = 8?

    • one year ago
  9. LogicalApple Group Title
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    y = -0.5x + 0.8 Multiply everything by 10 10y = -5x + 8 Move the variables to the other side 5x + 10y = 8 And you get the same answer :) You got it.

    • one year ago
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