Divide 25 into two parts such that 6 times of larger part added to 4 times of smaller is equal to 130. Find the larger part.

$x+y=25\to 1$

$x=l\arg erpart$

$y=smallerpart$

$6x+4y=130\to 2$

$2\Rightarrow 6x+4y=130$

$1\times 4\Rightarrow 4x+4y=100$

$\overline{2x=30}$

$x=15$