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

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

Answer by rapaljer(4551) About Me  (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.
graph%28300%2C300%2C+-5%2C5%2C-5%2C5%2C+%28-3x%2B2%29%2F4%2C+x-1%29+
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