What are the solutions to the simultaneous equations of 2x -3y equals 4 and 5x plus 2y equals 1?

Equations: 2x-3y = 4 and 5x+2y = 1

Multiply all terms in 1st equation by 5 and all terms in 2nd equation by 2:-

So: 10x-15y = 20 and 10x+4y = 2

Subtract the 2nd equation from the 1st equation: -19y = 18 => y = -18/19

By substitution the solutions are: x = 11/19 and y = -18/19