Maths-

General

Easy

Question

# Solve the system of equations by elimination :

4X - 3Y = 17

2X - 5Y = 5

Hint:

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

## The correct answer is: x = 5 and y = 1

### Complete step by step solution:

Let 4x - 3y = 17…(i)

and 2x - 5y = 5….(ii)

On multiplying (ii) with 2, we get 2(2x - 5y = 5)

⇒4x - 10y = 10…(iii)

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

On subtracting (i) from (iii),

we get LHS to be 4x - 10y - (4x - 3y)= - 10y + 3y = - 7y

and RHS to be 10 -17 = - 7

On equating LHS and RHS, we have - 7y = - 7

⇒ y = 1

On substituting the value of y in (i), we get 4x - 3 × 1 = 17

⇒4 x - 3 = 17

⇒4x = 17 + 3

⇒4x = 20

⇒x = 5

Hence we get x = 5 and y = 1

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

to be the same in both the equations.

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