Question

Solve the following pair of linear equation 3 X + 2 x is equal to 11 5 x minus 2 y is equal to 13

Answer 1

The values of x and y are "3 and 1".

Step-by-step explanation:

The given pair of linear equations​ are:

3x + 2y = 11                             .............(1)

and 5x - 2y = 13                     .............(2)

To find, the values of x and y = ?

Adding equations (1) and (2), we get

3x + 2y + 5x - 2y = 11 + 13    

⇒ 3x + 5x  = 24

⇒ 8x = 24

⇒ x = $\dfrac{24}{8}$

⇒ x = 3

Put x = 3 in equation (1), we get

3(3) + 2y = 11  

⇒ 9 + 2y = 11  

⇒ 2y = 11 - 9 = 2

⇒ y = $\dfrac{2}{2}$

⇒ y = 1

∴ x = 3 and  y = 1

Thus, the values of x and y are "3 and 1".