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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