Question

how many solutions does this system have
x-2y=2
y=-2+5
A.infinitely many solutions
B.no solution
C.two solutions
B.one solution

Answer 1

is the second equation really y=3 ?

Answer 2

x-2y=2
y=-2x+5
I messed up

Answer 3

since you don't actually need to find the solution(s)
I would just put both in slope-intercept form
and compare slopes then intercepts if necessary
what I mean is you can have the following possibilities:
A) Different slopes means one solution
B) Same slopes and same y-intercept means infinite amount of solutions
C) Same slopes and different y-intercepts means no solution

Answer 4

so y=-2x+5 is already in slope-intercept form

Answer 5

x-2y=2 is not

Answer 6

to get x-2y=2 in slope intercept form
we want to write in y=mx+b form
that means we will need to subtract x on both sides
then divide both sides by -2
x-2y=2
subtract x on both sides
-2y=-x+2
divide both sides by -2
y=1/2*x-1

Answer 7

now what is the slope of y=-2x+5
and what is the slope of y=1/2*x-1

Answer 8

the first one is -2
the second one is 1/2
@freckles

Answer 9

and so if they have different slopes how many solutions with the system of linear equations have?

Answer 10

refer to
A) Different slopes means one solution
B) Same slopes and same y-intercept means infinite amount of solutions
C) Same slopes and different y-intercepts means no solution

Answer 11

one solution

Answer 12

yep yep

Answer 13

Thanks