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2p+15p+6=17\dfrac{2p + 1}{5p + 6} = \dfrac{1}{7}

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Checkpoint: Rational and irrational numbersright chevron icon

Full solution

Q. 2p+15p+6=17\dfrac{2p + 1}{5p + 6} = \dfrac{1}{7}
  1. Cross-multiply fractions: Cross-multiply to eliminate the fractions; (2p+1)×7=(5p+6)×1 (2p + 1) \times 7 = (5p + 6) \times 1 .
  2. Simplify equation: Simplify the equation; 14p+7=5p+6 14p + 7 = 5p + 6 .
  3. Subtract terms: Subtract 5p 5p and 66 from both sides to isolate terms with p p on one side; 14p−5p=6−7 14p - 5p = 6 - 7 .
  4. Simplify terms: Simplify the terms; 9p=−1 9p = -1 .
  5. Divide to solve: Divide both sides by 99 to solve for p p ; p=−19 p = \dfrac{-1}{9} .

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