Q. 1 E4.7( 3 Votes )

Solve the following system of equations by elimination method:

8x + 5y = 9

3x + 2y = 4

Answer :

Given pair of linear equations is


8x + 5y = 9 …(i)


And 3x + 2y = 4 …(ii)


On multiplying Eq. (i) by 2 and Eq. (ii) by 5 to make the coefficients of y equal, we get the equation as


16x + 10y = 18 …(iii)


15x + 10y = 20 …(iv)


On subtracting Eq. (iii) from Eq. (iv), we get


15x + 10y – 16x – 10y = 20 – 18


– x = 2


x = – 2


On putting x = – 2 in Eq. (ii), we get


3x + 2y = 4


3( – 2) + 2y = 4


– 6 + 2y = 4


2y = 4 + 6


2y = 10



Hence, and , which is the required solution.


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