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)