SOLUTION: How do Yougraph and solve {3x+4y=2 x-y=1

Question 22132: How do Yougraph and solve {3x+4y=2
x-y=1

Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
To solve two equations and two unknowns by graphing (which is NOT the best way to solve a system of equations like this!), you have to draw the graphs first. You can either solve for y and graph by the slope-intercept method, or you can just find the two intercepts for each line, and graph those. I prefer the second method, finding the two intercepts, since these equations are written in standard form.

3x+4y = 2
Let x =0, then 4y = 2, so y = 1/2
Let y= 0, then 3x = 2, so x = 2/3

x-y=1
Let x=0, then -y = 1, so y = -1
Let y=0, then x= 1.
Graph these two lines, and see where the graphs intersect. You might be able to identify the point where they cross, and this will be the solution point.

You can see that they cross at an uneven point, very close to x= 1 and y= 0. If you want to find the point where they cross, you should probably solve the system by the elimination method, which give you a EXACT values for the point of intersection.

R^2 at SCC
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