Q4 of 92 Page 69

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

2x + 3y = 32


11y – 9x = 3

Rewriting the above equations in standard form,


2x + 3y = 32 (i)


- 9x + 11y = 3 (ii)


In this problem, we will eliminate ‘x’ from both the equations.


Hence multiplying equation (i) with 9 and (ii) with 2, We have



⇒ y = 6


Putting the value of y in equation (i)


we have, x = 1/2 (32 - 3y)


⇒ x = 7


Hence the solution of the linear equation is x = 7 and y = 6.


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