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  • chi3fcomm5nd

    This works because of the addition property of equality
    a=16--->a+3=16+3
    reverse engineering
    a+3=16+3--->a=16
    now given that 5x-4y=-30
    and given also the equation 3x+4y=38
    by the addition property
    3x+4y+(-30)=38+(-30)
    since -30=5x-4y by substituting
    3x+4y+(5x-4y)=38-30
    which yields
    8x=8
    the addition property of equality which is B.