Solve the system of equations by elimination :
2X + Y = 2
X - 2Y = - 5

The correct answer is: We can also solve these system of equations by making the coefficients of to be the same in both the equations.

Complete step by step solution:
Let 2x + y = 2…(i)
and x - 2y = - 5…(ii)
On multiplying (ii) with 2, we get 2(x - 2y = - 5)
⇒ 2x - 4y = - 10…(iii)
Now, we have the coefficients of x in (i) and (iii) to be the same.
On subtracting (i) from (iii),
we get LHS to be 2x - 4y - (2x+ y)= - 4y - y = - 5y
and RHS to be - 10 - 2 = - 12
On equating LHS and RHS, we have - 5y = - 12

On substituting the value of  in (i), we get 


On dividing both the sides by 2, we get 
Hence we get 
Note: We can also solve these system of equations by making the coefficients of
to be the same in both the equations.