What is the solution of the system of equations?

{4x-3y=152x+2y=4

Start by solving one equation for x or y, this time I'm choosing x. 2x = 4 - 2y, then x = 2 - y. Now substitute in x in the other equation. 4 (2-y) - 3y = 15. This simplifies to 8 - 4y - 3y = 15. This simplifies to - 7y = 7. Divide both sides by - 7, and y = - 1. Now plug the y value into the other equation: 2x + 2 (-1) = 4. This simplifies to 2x = 6, and x = 3.

X = 3, Y = - 1 or (3,-1)