Solve the system of equations by elimination :
2X - 4Y = 2
- X+ 4Y=3

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

Complete step by step solution:
Let 2x - 4y = 2…(i)
and -x+ 4y=3…(ii)
On adding (i) and (ii),
we get LHS to be 2x - 4y - x + 4y = x
and RHS to be 2 + 3 = 5
On equating LHS and RHS, we get x = 5
⇒ x = 5
On substituting the value of  in (i), we get 2 × 5 - 4 y= 2
⇒10 - 4y = 2
⇒ - 4y = - 8
⇒ y = 2
Hence we get  and
Note: We can also solve these system of equations by making the coefficients of x
to be the same in both the equations.