how many solutions does this system of equation have?
y=-2x+3
y=-2x-1

Question

how many solutions does this system of equation have? 
y=-2x+3
 y=-2x-1

narissa · Answer

A.0
B.1
C.2
D.infinitley many

imqwerty · Answer

from 1st equation you know that $y=-2x+3$
putting this valur of $y$ in the 2nd equation we get this->
$y=-2x-1$
putting value of $y$ from eq 1-
$-2x+3=-2x-1$ 
try to simplify this^

narissa · Answer

i have no idea how to simplify that :/

imqwerty · Answer

try adding $2x$ on both sides
tell what u get

narissa · Answer

1 and -1

imqwerty · Answer

no :|
okay we had this-
$-2x+3=-2x-1$
we add 2x on both sides
$-2x+3+2x=-2x-1+2x$
we see that $x$ gets eliminated from the whole equation and we get this-
$3=-1$
^this is clearly not true
so therefore we can conclude that whatever the value of $x$ be it won't satisfy the equation
okay? :)

narissa · Answer

oooooohhhhh ok :)

imqwerty · Answer

okay now what can you conclude about the number of solutions from here?

narissa · Answer

attachment

imqwerty · Answer

yes correct :)

narissa · Answer

thank you

imqwerty · Answer

yw

tkhunny · Answer

This is an eyeball proble,  The slopes are given up front.

How many solutions does this system of equation have?
y=-2x+3
y=-2x-1

Same Slope!  This narrows it to zero or infinitely many.
Different Intercept.  This narrows it to zero.
Done.  No need to calculate anything.