<PRE><B>Question 234333</B>
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(400,300,-10,10,-10,10,-2x+13,(5/2)x-;(1/2))}}}
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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.

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