Homework Help

How would solve system y=2x-1 , y=x^2-3x+5?

user profile pic

yapayapa | Honors

Posted September 22, 2013 at 4:51 PM via web

dislike 0 like

How would solve system y=2x-1 , y=x^2-3x+5?

1 Answer | Add Yours

user profile pic

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted September 22, 2013 at 4:55 PM (Answer #1)

dislike 0 like

The system of equations y=2x-1 , y=x^2-3x+5 has to be solved.

2x - 1 = x^2 - 3x + 5

=> x^2 - 5x + 6 = 0

=> x^2 - 3x - 2x + 6 = 0

=> x(x - 3) - 2(x - 3) = 0

=> (x - 2)(x - 3) = 0

=> x = 2 and x = 3

For x = 2, y = 3 and for x = 3, y = 5

The solution of the given set of equations is (2, 3), (3, 5)

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes