Let us solve the following linear simultaneous equations in two variables by the method of elimination:
Rewriting the above equation as.
3x + 2y = 6 (i)
2x + 3y = 6 (ii)
In this problem, we will eliminate ‘y’ from both the equations,
Multiplying equation (i) with 3 and (ii) with 2, we have
⇒ 
Putting the value of x in equation(i)
We have y = 1/2(6 - 3x) or 
Hence the solution of the linear equation is 
and 
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