Elimination using multiplication What is the best answer? 2x+y=0

Question

Elimination using multiplication What is the best answer? 2x+y=0
5x+3y=2

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Skylar 1 week 2021-09-15T17:49:44+00:00 2 Answers 0

Answers ( )

    0
    2021-09-15T17:51:09+00:00

    Answer:

    x = -2, y = 4

    Step-by-step explanation:

    2x + y = 0

    5x + 3y = 2

    Multiply the top equation by -3 so that one variable can be eliminated:

    -3(2x + y = 0)

    5x + 3y = 2

    Simplify the top equation:

    -6x – 3y = 0

    5x + 3y = 2

    Add the equations:

    -x = 2

    Solve for x:

    x = -2

    Substitute x back into one of the equations:

    5(-2) + 3y = 2

    Solve for y:

    -10 + 3y = 2

    3y = 12

    y = 4

    0
    2021-09-15T17:51:29+00:00

    Answer:

    x=-2, y=4. (-2, 4).

    Step-by-step explanation:

    2x+y=0

    5x+3y=2

    —————-

    -3(2x+y)=-3(0)

    5x+3y=2

    ——————-

    -6x-3y=0

    5x+3y=2

    —————

    -x=2

    x=-2

    2(-2)+y=0

    -4+y=0

    y=0-(-4)

    y=0+4

    y=4

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