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The sum of two integers is -4. Their difference is 12. Name the integers.

  • math - ,

    x+Y=-4 EQ1
    x-y=12 EQ2

    x=y+12 EQ3

    put in the first equation
    x+y=-4
    substitute equation 3 for x
    y+ (y+12)=-4
    2y+12=-4
    2y= -4-12
    2y =-16
    y= -16/2
    y= -8

    Put the new value of y in EQ3
    x= y+12
    x= -8+12
    x= 4

    so two numbers are 4 and -8

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