Question

Identify the number of solutions: -6x+6y=-4
2x-2y=5

Answer 1

Please show work(: I need help on this

Answer 2

if you divide the first equation by -3, notice the left side of both equations will look exactly alike but their right sides are different... do you know what that means?

Answer 3

infinite many solutions because the determinent of the system is zero
| -6 6
2 -2|=12-12=0

Answer 4

@byteMe no,no that much honestly

Answer 5

it means that they both have the same slope, BUT different y-intercepts...
these two lines don't intersect so there is no solution to the system.

these two lines are parallel...

Answer 6

so then that will make it no solution right(also 0)??

Answer 7

correct... no solution....

Answer 8

@sami-21 no,what your saying is many solutions

Answer 9

infinite solutions means they're the same line, or the lines are on top of each other....
in that case, each x, y that work for 1 line also works for the other...
see if that works in this problem....

Answer 10

wait,before i do that.aint im suppose to put it in y intercept form first.that's what my teacher said

Answer 11

yes you can... that's a good way of "seeing" each lines slope and y-intercept....

Answer 12

so for the first line i got y=1x-2/3 is that right? i did it in y intercept form

Answer 13

yes..