Question

A system of two linear equations has one solution. One of the equations is y = 2x + 25. Which could be the other equation? A y = 2x + 25 B y = –2x – 25 C y = 2x – 25 D y = 2x

Answer 1

Answer:

B.  y = -2x-25 These lines will intersect

Step-by-step explanation:

y = 2x+25  Which line has one solution to this equation:

A.  y = 2x+25   [This is the same line!  The solutions are infinite.]

B.  y = -2x-25 [These lines will intersect.  They'll meet at the corner of -12.5th and Zero streets (-12.5,0)]

C.  y = 2x-25  [Same slope, 2.  They, also, will never meet.  Pity]

D.  y = 2x [OMG.  Didn't parallel lines ever get the message.  Get with the slope and focus on the bliss of intersection.]

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[Extra Credit]

y = 2x + 25

y = –2x – 25

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y = 2x + 25

y = -2x - 25

2y =  0

y = 0

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y = 2x + 25

0 = 2x + 25

2x = -25

x = -12.5

The single solution is (-12.5,0)