Coordinate plane with two lines graphed. the equations of the lines are y equals negative two-thirds x plus four and the other line is y equals two-thirds x. determine the number of solutions the system of linear equations has and the solution(s) to the equations represented by these two lines? the system of equations has 0 solutions, because the graph has no point of intersection. the system of equations has infinite number of solutions and all real numbers satisfy both equations. the system of equations has 1 solution and it is (3, 2). the system of equations has 1 solution and it is (3, 0).