SOLUTION: i am so confused and stressed can you please show me how to do these x+2y=6 5x+3y=2

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Question 66534: i am so confused and stressed can you please show me how to do these
x+2y=6
5x+3y=2

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Well, I hope we can relieve some your confusion and stress!
Solve the system of equations:
x%2B2y+=+6 Rewrite this as: x+=+-2y%2B6 and substitute for x in the second equation.
5x%2B3y+=+2
5%28-2y%2B6%29%2B3y+=+2 Simplify and solve for y.
-10y%2B30%2B3y+=+2 Combine like-terms.
-7y%2B30+=+2 Subtract 30 from both sides.
-7y+=+-28 Finally, divide by -7.
y+=+4 Now substitute this for y in the first rewritten equation and solve for x:
x+=+-2%284%29%2B6
x+=+-8%2B6
x+=+-2
So the solution is: (-2, 4)
The graph of these two lines is shown below, and the point at which the lines intersect is called the solution.
graph%28300%2C200%2C-5%2C5%2C-5%2C6%2C%28-1%2F2%29x%2B3%2C%28-5%2F3%29x%2B%282%2F3%29%29