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Question

Verify the property : x+y=y×x by taking:

(i) x=13,y=27

(ii) x=35,y=1113

(iii) x=2,y=78

(iv) x=0,y=158


Solution

(i) x=13,y=27x=13,y=27L.H.S.=x×y=13×27=1×23×7=221R.H.S.=y×x=27×13=2×(1)7×3=221L.H.S.=R.H.S.

(ii)x×y=y×xx=35,y=1113L.H.S.=x×y35×1113=(3)×(11)5×13=3365R.H.S.=y×x=1113×35=(11)×(3)13×5=3365L.H.S.=R.H.S.

(iii)x×y=y×xx=2,y=78=7×(1)8×(1)=78L.H.S.=x×y=2×78=2×(7)8=74R.H.S.=y×x=78×2=74×1=74L.H.S.=R.H.S.

(iv)x=0,y=158x×y=y×xx=0,y=158L.H.S.=x×y=0×158=0R.H.S.=y×x=158×0=0L.H.S.=R.H.S.


Mathematics
RD Sharma
Standard VIII

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