Solve each of the following systems of equations by the method, 2/x +3/y =13; 5/x - 4/y = -2 where x ≠ 0 and y ≠ 0

Question

 Solve each of the following systems of equations by the method of cross-multiplication:

2/x +3/y =13

5/x - 4/y = -2 where x ≠ 0 and y ≠ 0

Answer 1

The given system of equation is

 Then, the given system of equations becomes

By cross multiplication, we have

 Is the solution of the given system of equations.