Solve this system algebraically.

9x + 2y = 5

y - 2x + 3 = 0

{ (11/13, - 17/13) }

{ (-11/13, - 17/13) }

{ (-11/13, 17/13) }

{ (11/13, 17/13) }

From the second equation, express y in terms of x. The expression is,

y = 2x - 3

Substitute this expression for y in the y of the first equation,

9x + 2 (2x - 3) = 5

The value of x from the equation is 11/13. The value of y is therefore,

y = 2 (11/13) - 3 = - 17/13

The solution is (11/13, - 17/13).