Maths-

General

Easy

Question

# Solve the system of equations by elimination :

3X - 9Y = 5

6X + 2Y = 18

Hint:

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

## The correct answer is: x = 43 over 15 and y=8 over 20

### Complete step by step solution:

Let 3x-9y=5…(i)

and 6x+ 2y=18….(ii)

On multiplying (i) with 2, we get 2(3x - 9y = 5)

⇒ 6x - 18y = 10…(iii)

Now, we have the coefficients of x in (ii) and (iii) to be the same.

On subtracting (iii) from (ii),

we get LHS to be 6x + 2y-(6x - 18y) = 2y - (- 18y) = 20y

and RHS to be 18 - 10 = 8

On equating LHS and RHS, we have 20y = 8

⇒ y =

On substituting the value of y in (i), we get 3x - 9 × =5

⇒ 3x - =5

⇒ 3x = 5 +

⇒ 3x = =

⇒ x = ⇒

Hence we get x = and y=

Note: We can also solve these system of equations by making the coefficients of

to be the same in both the equations.

Hence we get x = and y=

Note: We can also solve these system of equations by making the coefficients of

to be the same in both the equations.

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