Solve the system of equations by elimination :
X - 2Y = - 2
3X + 2Y = 30

The correct answer is: x = 7 and y equals 9 over 2

Complete step by step solution:
Let x - 2y = - 2…(i)
and 3x + 2y = 30….(ii)
On adding (i) and (ii),
we get LHS to be x - 2y + 3x + 2y = 4x
and RHS to be -2+ 30 = 28
On equating LHS and RHS, we get 4x = 28
⇒ x = 7
On substituting the value of x in (i), we get 7 - 2y = - 2

⇒ - 2y = - 2 - 7

⇒ - 2y = - 9

⇒ y =
Hence we get x = 7 and 
Note: We can also solve these system of equations by making the coefficients of x
to be the same in both the equations.