Ask your own question, for FREE!
Mathematics 18 Online
OpenStudy (anonymous):

Substitution method?

hero (hero):

What about it?

OpenStudy (anonymous):

hero (hero):

3x + 3y = 10 -9x - 9y = -30

hero (hero):

What happens if we divide the second equation by -3?

OpenStudy (anonymous):

sub·sti·tu·tion [sùbstə tsh'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

OpenStudy (anonymous):

@soty2013 , you're so cute the way you define terms as a first step. I respect that.

OpenStudy (anonymous):

i need help cliffsedge

hero (hero):

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.

OpenStudy (anonymous):

Then how would I get ehe solution to the system?

hero (hero):

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.

OpenStudy (anonymous):

Where do those two lines intersect, @xKingx ?

hero (hero):

The question is, "Do we even have two lines?".

hero (hero):

Seems to me like we have two equations, but only one line.

OpenStudy (anonymous):

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).

hero (hero):

I would rather see it as we have two equations that represent the same line.

OpenStudy (anonymous):

I'm cool with equivalent systems too.

OpenStudy (anonymous):

Alright then

OpenStudy (anonymous):

Try graphing the lines for both of those equations, @xKingx

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!