Maths-

General

Easy

Question

# Solve the system of equations by elimination :

X - 2Y = - 2

3X + 2Y = 30

Hint:

**HINT:** Perform any arithmetic operation and then find.

## 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.

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.

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