# 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 ->  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

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 Algebra: Graphs, graphing equations and inequalities Solvers Lessons Answers archive Quiz In Depth

 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(57967)   (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. ---------------- Write each equation in slope-intercept form to get: y = -2x+13 y = (5/2)x -(1/2) ------------------------- Graph the two lines and estimate the solution: -------------------------- Your estimate might be (3,4) -------------------------- Check that solution in each of the equations: 4 = -2*3+13 = -6+13 = 7 ; you would need to adjust your estimate.--------------- --- 4 = (5/2)3 - (1/2) = 7.5-0.5 = 7 ; you would need to adjust your extimate. --- 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. ==================================== Cheers, Stan H.