Maths-
General
Easy
Question
Solve the system of equations by elimination :
4X - 2Y = - 2
3X + 2Y = - 12
Hint:
Perform any arithmetic operation and then find.
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 4x - 2y = - 2…(i)
and 3x + 2y = - 12…(ii)
On adding (i) and (ii),
we get LHS to be 4x - 2y + 3x + 2y = 7x
and RHS to be – 2 – 12 = - 14
On equating LHS and RHS, we get 7x = - 14
⇒ x = - 2
On substituting the value of in (i), we get 4× - 2 - 2y = - 2
⇒ - 8 - 2y = - 2
⇒ - 2y = - 2 + 8
⇒ - 2y = 6
⇒ y = - 3
Hence we get x = - 2 and y = - 3
Note: We can also solve these system of equations by making the coefficients of x
to be the same in both the equations.
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