Given:
[tex]\begin{gathered} 6x+5y=25\ldots\ldots\ldots\ldots(1) \\ 4x-5y=15\ldots\ldots\ldots\ldots(2) \end{gathered}[/tex]
To find: The value of x and y
Explanation:
Adding (1) and (2) we get,
[tex]\begin{gathered} 6x+5y+4x-5y=25+15 \\ 10x=40 \\ x=4 \end{gathered}[/tex]
Substitute x=4 in equation (2) we get,
[tex]\begin{gathered} 6(4)+5y=25 \\ 24+_{}5y=25 \\ 5y=25-24 \\ 5y=1 \\ y=\frac{1}{5} \end{gathered}[/tex]
Hence, the solution is,
[tex](4,\frac{1}{5})[/tex]
Final answer:
[tex](4,\frac{1}{5})[/tex]
