Mahesh Godavarti

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

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



substitute x value in ax+by=c equation


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

put y value in x then