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Find the solution of the given system by the method of addition that was used in Examples 4 and 5. If there is no solution or infinitely many solutions, state so. Put the value for x in the blank.
2x - 3y = 1; x + 2y = 4

  • math -

    I think you are describing the method of elimination

    1st equation -----> 2x-3y = 1
    2nd times 2 -----> 2x + 4y = 8

    subtract them
    -7y = -7
    y = 1
    back into the 2nd:
    x + 2 = 4
    x = 2

    x = 2, y = 1

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