SOLUTION: Solve the following system of equations algebraically: y = x^2-6x+6 y-x= -4

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Question 159055: Solve the following system of equations algebraically:
y = x^2-6x+6
y-x= -4

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
1.
2.
Use eq. 2 and find an expression for y in terms of x.
2.

Substitute into eq. 1 and solve for x.
1.



Two solutions, first find x, then corresponding y.
.
.
.


From eq. 2,



First solution : x=5, y=1
.
.
.


from eq. 2,



Second solution : x=2, y=-2
Check the solutions graphically by plotting both curves,

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