Question

Solve : x + y = 6 and x - y = 2​

Answer 1

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Solve : x + y = 6 and x - y = 2

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$x= 4\:and\:y= 2.$

Step-by-step explanation:

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$\implies x+y=6 \: \: (i) \\ \implies x-y= 2 \: (ii) \\ from \: eq(i) \: x+y=6 \\ \implies x= 6-y \: \: (iii) \\ On \: substituting \: the \: value \: of \: x=6-y \ \: \\ in \: eq(ii) \\ \implies 6-y-y=2 \\ \implies -2y=2-6 \\ \implies-2y=-4 \\ \implies y=2. \\ On \: substituting\:the\:value \: of\: y=2 \\ in \: eq(ii) we \: get,\\ \implies x-y=2\\ \implies x-2= 2\\ \implies \: x=2+2\\ \implies x=4. \\ \therefore x=4 \: and \: y= 2.$

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