Let us solve the following linear simultaneous equations in two variables by the method of elimination:
Rewriting the above equation as.
5x – 3y = 8 (i)
9x + 7y = 126 (ii)
In this problem, we will eliminate ‘y’ from both the equations. Multiplying equation (i) with 7 and (ii) with 3, we have
⇒ x = 7, putting the value of x in equation(i),
we have 
or y = 9.
Hence the solution of the linear equation is x = 7 and y = 9.
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