Let us solve the following linear simultaneous equations in two variables by the method of elimination:


Rewriting the above equation as.
3x + 2y = 48 (i)
5x – 12y = - 12 (ii)
In this problem, we will eliminate ‘y’ from both the equations!
Multiplying equation (i) with 6, we have

⇒ x = 12
Putting the value of y in equation(i)
We have y = 1/2(48 - 3x) or y = 6.
Hence the solution of the linear equation is x = 12 and y = 6.
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