SOLUTION: A system of linear equations has solutions (1, -1) and (-2,3). a)Can you find another solution? b)How many solutions must exist?

Question 106514This question is from textbook Algebra 2 with trigonometry
: A system of linear equations has solutions (1, -1) and (-2,3).
a)Can you find another solution?
b)How many solutions must exist? This question is from textbook Algebra 2 with trigonometry

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A system of linear equations has solutions (1, -1) and (-2,3).
--------
The only way two lines can intersect in two points is when
the two lines are really the same line.
------------
Your problem
slope = -4/3
Then -1 = (-4/3)*1 + b
b = -1 +(4/3) = 1/3
EQUATION:
y = (-4/3)x + (1/3)
--------------------
a)Can you find another solution?
There are an infinite number of solutions:
Let x=0 then y = (1/3)
Let x = 3 then y = -11/3
etc.
-----------
b)How many solutions must exist?
An infinite number
Cheers,
Stan H.
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