Answered: Using the graphing method to solve…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter7: Conic Sections And Quadratic Systems

Section7.4: Solving Nonlinear Systems Of Equations

Problem 57E

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Using the graphing method to solve 4x-y=5 and x+2y=8. Label the solution (x,y).

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Step 1

$4 x - y = 5 . . . . . . . . . . . . (1) x + 2 y = 8 . . . . . . . . . . . . (2) From equation (1) y = 4 x - 5 - - - - - - (3) Assume the value of x = 1, 2 and put those values in equation (3) If x = 1, y = 4 (1) - 5 = - 1 If x = 2, y = 4 (2) - 5 = 3 On the above basis, the following points are : X 1 2 Y 2 3 Now plotting (1, - 1), (2, 3) and joining them, we get a straight line .$

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