Rearrange the equations by getting them into the form y=. So this gives us y=2x+6 and y=(2-x)/2 or 1-(1/2)x. Now you can plot the two lines on one graph. The easiest way to draw the lines is to identify the x and y intercepts of each and draw a line through these intercepts for each graph. The intercepts are found by putting y=0 to get the x intercept and x=0 to get the y intercept. For the first graph the intercepts are (-3,0) and (0,6), so draw a line through these points to join them together; for the second graph the intercepts are (2,0) and (0,1). The two lines will cross one another at the solution to the system of equations: 2x+6=1-(1/2)x, (2 1/2)x=-5 or 5x/2=-5, so x=(2/5)(-5)=-2. Now put x=-2 in either equation to find the y value: y=-4+6=2 or y=(2-(-2))/2=4/2=2. So the point of intersection and the solution is (-2,2), i.e., x=-2 and y=2.