Michigan State University - Diagnostic Exam

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2.15

  •   The solution set for the system of equations x + 2y = 5 and -2x + 3y = 4 is also on the line



    a) y = x + 1 b) y = -2x - 2 c) x + y = 4
       
    d) x - y = 1 e) 3x - 2y = 1

Solution:
x + 2y = 5 ⇒ x = 5 - 2y ⇒ - 2 (5 - 2y ) + 3y = 4 ⇒ y = 2 ⇒ x = 5 - 2(2) = 1

Clearly, (1, 2) is a solution to the equation y = x + 1.

Diagnostic:

If you miss this question please review systems of linear equations.

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July 15, 2008