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It is known that x+y=10,and that …

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It is known that x+y=10,and that x=z. Show that z+y=10

    • Posted by Yuvika Singh 8 years, 4 months ago

    CBSE > Class 09 > Mathematics
    • 1 answers

    Dharmendra Kumar 8 years, 4 months ago

    Given x+y=10     and    x=z  ----(1)

               x+y-y=10-y    [by Euclid's axiom (3) if equals are subtracted from equals then the remainders are also equal.]

                    x=10-y  ------(2)

    From eq.(1) and (2)

                   z=10-y          [by using Euclid's axiom(1) things which are equal to same thing are equal to one another.]

                   z+y=10-y+y   [ by using Euclid's axiom (2) if equals ate added to equals, then wholes are equal.]

                    z+y=10              H.Proved

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