Mahesh Godavarti
1

We use exactly the same methods to solve a system of linear equations. The methods are:

  1. Substitution - isolate the expression for one variable in terms of the other from one equation and substitute it in the other. E.g. substitute mx + b in the other equation to get a x + b_1 (mx + b) = c which gives you (a + b_1 b) x = c - m b_1, finally x = (c - m b_1)/(a + b_1 b).
  2. Elimination - we can eliminate a variable.
  3. Equal Values - similar to substitution
  4. Graphical - graph both equations and find the point of intersection


Does this answer the question? Please post in comments if there is anything specific you would like to clarify.



Sindhuja Parimi
0

if you rearrange the equation y=mx+b as

mx-y= -b


The above rearranged equation and ax+by=c are same


now you can solve those equations by using elimination or substitute methods.


slope intercept form of ax+by=c is y=mx+c

mx-y=-b


mx=-b+y


substitute x value in ax+by=c equation


\frac{a\left(-b+y\right)}{m}+by=c


then y=\frac{\left(cm+ab\right)}{bm+a}


put y value in x then


x=\frac{\left(c-b^2\right)}{bm+a}