SOLUTION: determine the solution to the following system of equations
y=x^2-4x+3
y=2x-2
Algebra.Com
Question 697672: determine the solution to the following system of equations
y=x^2-4x+3
y=2x-2
Found 2 solutions by vidya pattar, unlockmath:
Answer by vidya pattar(14) (Show Source): You can put this solution on YOUR website!
Solution:
Since we have y = x^2 - 4x + 3
and y = 2x - 2
since both are equal to same thing (y) , hence they are equal to each other , means LHS are equal, hence RHS must be equal.
x^2 - 4x + 3 = 2x - 2
x^2 - 4x + 3 - 2x + 2 = 0
x^2 - 6x + 5 = 0
x ^2 - 5x - 1x + 5 = 0
x( x - 5 ) -1 ( x - 5 ) = 0
( x - 1 )( x - 1 ) = 0
hence x = 5 and x = 1
Answer by unlockmath(1688) (Show Source): You can put this solution on YOUR website!
Hello,
For this one,
y=x^2-4x+3
y=2x-2
Let's set it up as
x^2-4x+3=2x-2
Now subtract 2x and add 2 toget:
x^2-6x+5=0
Factor:
(x-1)(x-5)=0
Solve for x:
x=1
x=5
Now you can plug in these to find out the values of y.
Make sense?
RJ
www.math-unlock.com
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