Substitution method?
What about it?
3x + 3y = 10 -9x - 9y = -30
What happens if we divide the second equation by -3?
sub·sti·tu·tion [sùbstə tsh'n] (plural sub·sti·tu·tions) noun 1. act of replacing: the replacement of somebody or something with another, especially one team member with another on the field 2. somebody or something that replaces: somebody or something that replaces another, especially one team member who replaces another on the field 3. mathematics replacement of mathematical element: the replacement of one mathematical element with another of equal value 4. logic replacement of logical expression: the replacement of one logical expression with another, or a replaced logical expression
@soty2013 , you're so cute the way you define terms as a first step. I respect that.
i need help cliffsedge
If we divide the second equation by -3 we end up with 3x + 3y = 10, thus we see that both equations are equal. Therefore, there is no need to proceed any further. Nor is it necessary to substitute anything.
Then how would I get ehe solution to the system?
Anytime you get a result such as this where both equations are the same, it means that any combination of x and y will work for both equations.
Where do those two lines intersect, @xKingx ?
The question is, "Do we even have two lines?".
Seems to me like we have two equations, but only one line.
Perhaps. If a line is length with no thickness, it is possible for two lines to occupy the same space. (I don't think quantum mechanical rules apply to geometric objects).
I would rather see it as we have two equations that represent the same line.
I'm cool with equivalent systems too.
Alright then
Try graphing the lines for both of those equations, @xKingx
Join our real-time social learning platform and learn together with your friends!