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)

Were the multiply choice?

The correct graph is the second one, with the points being at (-6,0), (2,0) and reaching down to (-2,-8)