Question

graph the system of equations and state the solution:

-3x+y=-3
y=x-3

Answer 1

there are 2 equations:
-3x+y=-3 and y=x-3

Answer 2

did you graph them?

Answer 3

well, i got the first equation to look like: y=3x-3. i haven't graphed them yet. how do i do that?

Answer 4

i also have to state the solution

Answer 5

wo we knwo y=3x-3 has a slope of 3 and a y intercept at y = -3
so start on the point where y = -3 and go up 3 and over 1

Answer 6

ok...

Answer 7

for x, i got (1,0)

Answer 8

and for the next one we know the slope is 1 and y intercept at -3 so start and -3 and go up 1 and over 1

Answer 9

well and we know the solution is (0,-3) because these are linear and they will only have one solution. and we know they both have the same y intercept so the y intercept is the solution

Answer 10

so, y is (0,-3) and x is (1,-2)

Answer 11

we can check this with algebra
y = x-3
y = 3x-3
so 3x-3 = x-3
so 3x = x
so 3x-x=0
so x(3-1) = 0
so x(2) = 0 and thus x = 0
when x = 0 both 3x-3 and x-3 are -3
thus a slution at (0,-3)

Answer 12

the solution is the pair (x,y) is the point when the two lines cross, so x = 0, and y = -3
so (0,-3)

Answer 13

so, the solution is just (0,-3), right?