SOLUTION: Directions say to Graph the linear System and estimate the solution. Then Check the solution algebraically. the problem is 2x+y=13 5x-2y=1. please break it down to to step by step

Algebra ->  Graphs -> SOLUTION: Directions say to Graph the linear System and estimate the solution. Then Check the solution algebraically. the problem is 2x+y=13 5x-2y=1. please break it down to to step by step       Log On


   

Question 234333: Directions say to Graph the linear System and estimate the solution. Then Check the solution algebraically. the problem is 2x+y=13 5x-2y=1. please break it down to to step by step on how to graph and estimate the solution.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Directions say to Graph the linear System and estimate the solution. Then Check the solution algebraically. the problem is:
2x+y=13
5x-2y=1.
please break it down to to step by step on how to graph and estimate the solution.
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Write each equation in slope-intercept form to get:
y = -2x+13
y = (5/2)x -(1/2)
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Graph the two lines and estimate the solution:
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C-2x%2B13%2C%285%2F2%29x-%3B%281%2F2%29%29
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Your estimate might be (3,4)
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Check that solution in each of the equations:
4 = -2*3+13 = -6+13 = 7 ; you would need to adjust your estimate.---------------
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4 = (5/2)3 - (1/2) = 7.5-0.5 = 7 ; you would need to adjust your extimate.
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The actual solution is (3,7)
If you had estimated the solution to be (3,7) the checking process
would have shown you were correct.
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Cheers,
Stan H.