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18 March, 08:47

Solve in substitution. Show your work.

2x+3y=5

y=3x-2

+2
Answers (1)
  1. 18 March, 10:53
    0
    Substitute the 3x-2 for the y in the first equation:

    2x+3 (3x-2) = 5

    Distribute the 3:

    2x+9x-6=5

    Combine like terms:

    11x-6=5

    Add 6 to both sides:

    11x=11

    Divide by 11:

    x=1

    Substitute that 1 for x in either equation:

    y=3x-2

    y=3 (1) - 2

    y=3-2

    y=1

    Answer:

    x=1

    y=1
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