Determine whether the statement below is always, sometimes, or never true. two lines with positive slopes are parallel.
2 answers:
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Answer:
Equation C: 5/8x + 2..5 = 3/8x + 1.5 + 1/4x
Step-by-step explanation:
Let us go through each of the equations one by one.
Equation A:
This simplifies to
which has infinitely many solutions.
Equation B:
this simplifies to
which is exactly one solution.
Equation C:
this simplifies to
There's no way this is going to be possible; this equation has no solutions.
Equation D:
this gives
which is exactly one solution.
Thus we see that it is equation C that has no solutions.