Q4 of 92 Page 69

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

3x + 2y = 6


2x – 3y = 17

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


3x + 2y = 6 (i)


2x – 3y = 17 (ii)


Multiplying equation (i) with 3 and (ii) with 2, We have



⇒ x = 4


Putting the value of x in equation (i)


We have y = 1/2 (6 - 3x)


y = - 3.


Hence the solution of the linear equation is x = 4 and y = - 3.


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