Question

5x+y=10
x+5y=14
find x and y​

Answer 1

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Answer 2

Step-by-step explanation:

$5x + y = 10 \\ 5x = 10 - y \\ x = \frac{10 - y}{5} \\ put \: the \: value \: of \: x = \frac{10 - y}{5} \\ x + 5y = 14 \\ \frac{10 - y}{5} + 5y = 14 \\ \frac{10 - y + 25y}{5} = 14 \\ \frac{10 + 24y}{5} = 14 \\ 10 - 24y = 14 \times 5 \\ - 24y = 70 - 10 \\ - 24y = 60 \\ y = \frac{ - 60}{24} \\ y = \frac{15}{4} \\ y = - 3.75 \\ then \: \: put \: the \: value \: of \: y = - 3.75 eq2 \\ x = \frac{10 - y}{5} \\ x = \frac{10 + 3.75}{5} \\ x = \frac{13.75}{5} \\ x = 2.75$