Question

Solve the equations and select the correct option:

3x + 5y = 13

2x + y = 4

1. x > y
2. x < y
3. x = y
4. x ≥ Y

Answer 1

Correct Answer - Option 2 : x < y

Given:

3x + 5y = 12

2x + y = 4

Calculation:

3x + 5y = 13      ….(1)

2x + y = 4      ….(2)

Multipying equation (2) by 5

⇒ 10x + 5y = 20     ….(3)

Subtracting equation 2 from 3

⇒ 10x + 5y = 20 

-3x + 5y = 13     

⇒ 7x = 7

⇒ x = 1

Replacing value of x in equation 1

⇒ 3 + 5y = 13

⇒ 5y = 10

⇒ y = 2

∴ x < y

Common mistake:

While multiplying and adding or subtracting terms changes the constant value should be changed