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What is the solution to the linear equation ? 2/5+p=4/5+3/5p

  • natalieackerman: 2/5 + p = 4/5 + 3/5 pSimplifyp + 2/5 = 3/5 p + 4/5Subtract 3/5p from both sidesp + 2/5 -3/5p = 3/5p + 4/5 -3/5 p2/5 p + 2/5 =4/5Subtract 2/5 from both sides2/5 p +2/5 -2/5 = 4/5 -2/52/5 p = 2/5Divide both sides by 2/52/5 p / 2/5 = 2/5 /2/5p = 1
  • lisboa:

    Answer:

    p=1

    Step-by-step explanation:

    2/5+p=4/5+3/5p

    [tex]\frac{2}{5} +p= \frac{4}{5} +\frac{3}{5} p[/tex]

    p or p/1 are same

    LCD is 5, multiply 5 with each term. the equation becomes

    [tex]\frac{2}{5} \cdot 5+p \cdot 5= \frac{4}{5} \cdot 5 +\frac{3}{5}p \cdot 5[/tex]

    [tex]2+5p = 4 +3p[/tex]

    Subtract 3p from both sides

    [tex]2+2p = 4[/tex]

    Subtract 2 on both sides

    [tex]2p= 2[/tex]

    Divide by 2 on both sides

    p= 1

    So the value of p =1  for the given equation

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