Question

If 2x + 5y =8 and 5x + 2y = 6 then x+y =? *​

Answer 1

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$2x + 5y = 8 \: \: \: \: \: \: (1) \\ 5x + 2y = 6 \: \: \: \: \: \: (2) \\ by \: using \: (1) \\ x = \frac{8 - 5y}{2} \: \: \: \: \: \: (3) \\ by \: (2)and(3) \\ \longrightarrow \: 5 \times \frac{8 - 5y}{2} + 2y = 6 \\ \longrightarrow \frac{40 - 25y}{2} + 2y = 6 \\ \longrightarrow \frac{40 - 25y + 4y}{2} = 6 \\ \longrightarrow 40 - 21y = 6 \times 2 \\ \longrightarrow21y = 40 - 12 \\ \longrightarrow \: y = \frac{40 - 12}{21} = \frac{28}{21} = \frac{4}{3} \\ so \: putting \: value \: of \: y = \frac{4}{3} in \: (3) \\ x = \frac{8 - 5y}{2} \\ \longrightarrow \: x = \frac{8 - 5( \frac{4}{3} ) }{2} \\ \longrightarrow \: x = \frac{8 - \frac{20}{3} }{2} \\ \longrightarrow \: x = \frac{ \frac{24 - 20}{3} }{2} \\ \longrightarrow \: x = \frac{4}{3} \div 2 \\ \longrightarrow \: x = \frac{4}{3} \times \frac{1}{2} = \frac{2}{3} \\ \\ \\ now \\ x + y = \frac{4}{3} + \frac{2}{3} \\ \longrightarrow \: x + y = \frac{4 + 2}{3} = \frac{6}{3} = \frac{2}{1} \\ \longrightarrow \: 2$

plese mark brillant if this helps you

Answer 2

Answer:

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