Solve for x and y.

\[ 8x = 10y \]
\[ 2x - y = 5 \]

[8x=10y\ 2x-y=5\\ 4x=5y\ y=2x-5\\ 4x=5(2x-5)\ 4x=10x-25\ 6x=25\ x=\frac{25}{6}\\ y=2\cdot\frac{25}{6}-5\ y=\frac{25}{3}-\frac{15}{3}\ y=\frac{10}{3}
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Answered by konrad509 | 2024-06-10

To solve the equations 8 x = 10 y and 2 x − y = 5 , we substitute y = 0.8 x into the second equation to find x and then determine y . The final solutions are x = 6 25 ​ and y = 3 10 ​ .
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Answered by Anonymous | 2024-12-23