Question 201974
x - y = 10
x - y = -2
What is the ordered pair?
Is the system consistent or inconsistent?
Is it dependent or independent?
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Subtract one equation from the other to get:
0 = 12
That is a contradiction meaning the variable values
do not have the same meaning in the two equations.
The equations are inconsistent.
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Putting the equations in slope intercept form you get:
y = x-10
y = x+ 2
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Both equations have the same slope (m = 1)
but the y-intercepts are different; so the
lines are parallel; therefore the system
is independent.
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Cheers,
Stan H.