How many solutions are there to the system of equations #y=-x+3# and #x+y-3=0#?

1 Answer
smendyka
Aug 29, 2017

See a solution process below:

Explanation:

Solve the second equation for #y#:

#x + y - 3 = 0#

#-color(red)(x) + x + y - 3 + color(blue)(3) = -color(red)(x) + 0 + color(blue)(3)#

#0 + y - 0 = -color(red)(x) + color(blue)(3)#

#y = -x + 3#

We can see that the first and second equations are actual the same equations. Therefore, there are an infinite number of solutions between the two equations.

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