SOLUTION: I DONT UNDERSTAND THIS HOMEWORK ASKING ME TO DECIDE WEHTER IS SOLUTION OR INFINELY MANY SOLUTIONS Y=3X-1 Y=-2X+4

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Question 187361This question is from textbook ALGEBRA 1
: I DONT UNDERSTAND THIS HOMEWORK ASKING ME TO DECIDE WEHTER IS SOLUTION OR INFINELY MANY SOLUTIONS
Y=3X-1
Y=-2X+4
This question is from textbook ALGEBRA 1

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
DECIDE WEHTER IS SOLUTION OR INFINELY MANY SOLUTIONS
Y=3X-1
Y=-2X+4
-------------
Substitute to get:
3x-1 = -2x+4
5x = 5
x = 1
----
Substitute to solve for "y":
y = 3*1-1 = 2
---------------------------
Solution: (1,2)
It does not have an infinite number of solutions.
======================================================
It would have an infinite number of solutions if the slope
and the y-intercept were the same for the two equations.
=========================================================
Cheers,
Stan H.

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