Q1 of 186 Page 4

Solve the following system of equations by elimination method:

x + y = 5


2x – 3y = 4

Given pair of linear equations is


x + y = 5 …(i)


And 2x – 3y = 4 …(ii)


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


2x + 2y = 10 …(iii)


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


2x + 2y – 2x + 3y = 10 – 4


⇒ 5y = 6



On putting in Eq. (i), we get


x + y = 5





Hence, and , which is the required solution.


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