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12 November, 19:16

Solve the equation.

-9/15y+3/21=5/15y-14/21

What is the solution?

a. y=68/315

b. y=31/105

c. y=85/98

d. y=85/25

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Answers (1)
  1. 12 November, 21:43
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    -9/15y+3/21=5/15y-14/21

    Move 5/15y to the other side. Sign changes from + 5/15y to - 5/15y

    -9/15y-5/15y+3/21=5/15y-5/15y-14/21

    -14/15y+3/21=-14/21

    Move 3/21 to the other side. Sign changes from + 3/21 to - 3/21.

    -14/15y+3/21-3/21=-14/21-3/21

    -14/15y=-14/21-3/21

    -14/21-3/21=-17/21

    -14/15y=-17/21

    Multiply both sides by - 15/14

    -14/15y (-15/14)

    Cross out 15 and 15, divide by 15 then becomes 1

    Cross out 14 and 14, divide by 14 then becomes 1

    1*1*y=y

    -17/21*-15/14

    Cross out 15 and 21, divide by 3. 15/3=2, 21/3=7

    17/7*5/14=85/98

    Answer: c. y=85/98
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