The equations are y = 3x - 4 and 2y = 2x +1.
If the graph of equation intersect each other at one point then there is one solution, if line lies on one another then there are infinitely many solution and if lines are parallel to each other then there is no solution.
Plot the equation on the graph.
From the graph, it can be observed the lines intersect each other at one point only lies in first quadrant, so there is one solution located in the first quadrant.