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in this lesson were gonna solve a system of equations by graphing so the first equation is y is equal to two x minus three and the second one is negative two over three x plus five so what you want to do is you want to graph the two equations and you want to find out where the point of intersection is thats going to be the solution but lets put some marks on the graph first lets go up to 5 on the y-axis and lets do the same for the x-axis the advantage of drawing a big graph is you can clearly see where the solution is going to be if you draw a graph with the marks closely spaced to each other it might be difficult to see the answer so the bigger the graph the better its going to be now each of these equations is in slope-intercept form so starting with the first equation we can see that m the slope is 2 and the y-intercept is negative 3. so we need to go down at least three units so for the first equation the y intercept is negative three thats gonna be the first point to find