Which ordered pair is a solution to the system of linear equations?

2x + 3y= 6

–3x + 5y = 10

There are many different ways in obtaining the solution to this system of linear. Shown here is the substitution method. 

Express x in the first equation in terms of y,
 
                                x = (6 - 3y) / 2

Substitute this expression to the x of the second equation,
  
                                 -3 ((6 - 3y) / 2) + 5y = 10

Solving for y gives y = 2
Substitute this value of y to solve for x. This yield to x = 0

Thus, the solution to this system is (0, 2)