how many systems does this system have

-3x + 6y = 10
-3x + 6y = -4

a. none
b. one
c. infinite
d. two

3 answers

sorry meant solutions does this system have
well, -3x+6y cannot be both 10 and -4, right?
so, ...
m1 = -A/B = 3/6 = 1/2.
m2 = -A/B = 3/6 = 1/2.
So the lines are parallel, because they have equal slopes. Parallel lines
do not intersect. Therefore, there are no solutions.
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