How many solutions will this system of equations have?

y = 3.5x − 3.5
y = −3.5x + 3.5

No solution
Infinite solutions
One solution
Two solutions

Question

How many solutions will this system of equations have?

y = 3.5x − 3.5
y = −3.5x + 3.5

 No solution
 Infinite solutions
 One solution
 Two solutions

anonymous · Answer

@TheSmartOne

thesmartone · Answer

Ok, here's a tip for you. :)

A system of equations can NEVER have 2 solutions. It can have one solution, infinitely many solutions, or no solutions. BUT it can NEVER have just 2 solutions. :)

anonymous · Answer

ok

anonymous · Answer

so i have done the math and i think it is 1 solution

thesmartone · Answer

ok, let me check it over :)

thesmartone · Answer

You're correct! :D @casey321123 @~

mrnood · Answer

@casey321123 

If I might just be a little pedantic:

as system of LINEAR equations cannot have 2 solutions

(if one or both of the equations is not a straight line then it is possible to have more than one solution.

Otherewise - the above is good ! :-)

thesmartone · Answer

If your system of equations has the same slope, BUT different y-intercepts, then it has no solutions.

If your system of equations has the same slope, AND the same y-intercept, then it has infinity solutions.

Otherwise, it has only 1 solution. :)