What is the solution to the linear equation? 2.8y + 6 + 0.2y = 5y – 14

Question

What is the solution to the linear equation?
2.8y + 6 + 0.2y = 5y – 14

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Kinsley 1 week 2021-09-10T13:20:18+00:00 2 Answers 0

Answers ( )

  1. Ava
    0
    2021-09-10T13:21:19+00:00

    Answer:

    y= 11

    Step-by-step explanation:

    we have:

    2.8y + 6 + 0.2y = 5y – 14

    or 3y + 6 = 5y -14

    and 3y + 6 – 6 = 5y -16 -6

    and 3y = 5y -22

    and 3y – 5y = -5y +5y -22

    so -2y = -22

    finally y = -22/-2

    or y=11

    Hope that useful for you.

    0
    2021-09-10T13:21:53+00:00

    Answer:

    y = 10

    Step-by-step explanation:

    Simplifying

    2.8y + 6 + 0.2y = 5y + -14

    Reorder the terms:

    6 + 2.8y + 0.2y = 5y + -14

    Combine like terms: 2.8y + 0.2y = 3y

    6 + 3y = 5y + -14

    Reorder the terms:

    6 + 3y = -14 + 5y

    Solving

    6 + 3y = -14 + 5y

    Solving for variable ‘y’.

    Move all terms containing y to the left, all other terms to the right.

    Add ‘-5y’ to each side of the equation.

    6 + 3y + -5y = -14 + 5y + -5y

    Combine like terms: 3y + -5y = -2y

    6 + -2y = -14 + 5y + -5y

    Combine like terms: 5y + -5y = 0

    6 + -2y = -14 + 0

    6 + -2y = -14

    Add ‘-6’ to each side of the equation.

    6 + -6 + -2y = -14 + -6

    Combine like terms: 6 + -6 = 0

    0 + -2y = -14 + -6

    -2y = -14 + -6

    Combine like terms: -14 + -6 = -20

    -2y = -20

    Divide each side by ‘-2’.

    y = 10

    Simplifying

    y = 10

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