Question

solve the following pair of linear equation 3x +2y -11 and 5x - 2y - 13​

Answer 1

The value of x and y, after solving the given linear equations, is 3 and 1 respectively.

Step-by-step explanation:

Given linear equations:

3x + 2y - 11 = 0 ...... (i)

5x - 2y - 13 = 0 ....... (ii)

Now,

By adding eq. (i) & (ii), we get

3x + 2y - 11 = 0

5x - 2y - 13 = 0

------------------------------

   8x - 24 = 0

-------------------------------

∴ x = 24/8 = 3

Substituting the value of x in eq. (i), we get

(3×3) + 2y - 11 = 0

⇒ 9 + 2y = 11

⇒ 2y = 11 - 9

⇒ y = 2/2

⇒ y = 1

------------------------------------------------------------------------------------------

Also View:

(2/3x+2y)+(3/3x-2y)=17/5 and (5/3x+2y)+(1/3x-2y)=2 then find value of x and y.

https://brainly.in/question/1181102

Expand the following, using suitable identity (√2x +2y -√3z) ^2

https://brainly.in/question/2687321

If 2x +3y =12 and 3x +2y =13 then x+y

https://brainly.in/question/2526112

Answer 2

x = 3 and  y = 1

Step-by-step explanation:

The given pair of linear equations:

3x + 2y -11 = 0                                          ............(1)

and 5x - 2y - 13​ = 0                                 ............(2)

To find, the values of x and y = ?

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

3x + 2y -11 + 5x - 2y - 13 = 0 + 0

⇒ 8x - 24 = 0

⇒ 8x = 24  

⇒ x = $\dfrac{24}{8} =3$

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

3(3) + 2y -11 = 0    

⇒ 9 + 2y -11 = 0  

⇒ 2y - 2 = 0

⇒ y = 1

∴ x = 3 and  y = 1