SOLUTION: How many solutions will this system of equations have? y = -3.5x - 3.5 y = -3.5x + 3.5

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: How many solutions will this system of equations have? y = -3.5x - 3.5 y = -3.5x + 3.5      Log On


   



Question 930680: How many solutions will this system of equations have?
y = -3.5x - 3.5
y = -3.5x + 3.5

Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
None
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y = -3.5x - 3.5
y = -3.5x + 3.5
---------------------- Subtract

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

slope-intercept form of linear equation is y=mx%2Bb where m is slope and b is y-intercept
you have
y+=+-3.5x+-+3.5=> m%5B1%5D=-3.5 and b%5B1%5D=-3.5
y+=+-3.5x+%2B+3.5=> m%5B2%5D=-3.5 and b%5B2%5D=3.5
as you can see, both lines have same slope of -3.5, but different y-intercepts
if both lines have same slope they will never cross, they are parallel; so, this system is called inconsistent

+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-3.5x+-+3.5%2C+-3.5x+%2B+3.5%29+