how to solve Linear equations

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I don't knowhow to solve linear equations...at all! Can someone please explain in steps how to solve for linear equations, my online school is not explaining enough for me. Please Help!

Jul 1st, 2015

Thank you for the opportunity to help you with your question!

There are several way to solve it.  An relative easier way is to eliminate one variable by substitution, for example for the equation 

x+y = 3 

x+3y = 2

we solve y from x+y =3 

y = 3-x, then plug it into the second equation, then solve for x, 

x+3*(3-x)=2 

-2x+9  =2 

x = -7/(-2) = 7/2 

y = 3-x = -1/2

another way is to elimination of variable, still use the same equation, 

x+y = 3 

x+3y = 2

subtract the first equation from the second one then we have 

x+3y-(x+y) = 2-3 =-1

2y = -1 

y=-1/2

then plug y=-1/2 into x+y=3, we have 

x = 7/2    


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jul 1st, 2015

I still don't understand? could you just be more specific? Like why do we make x+3y= 2? why 2? Im sorry i am just very confused i guess :( 

Jul 1st, 2015

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