Question

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

Answer 1

Answer:use cymath and tiger algebra

Step-by-step explanation:

Solve equation [2] for the variable  x  

 

 [2]    5x = 2y + 13

 [2]    x = 2y/5 + 13/5

// Plug this in for variable  x  in equation [1]

  [1]    3•(2y/5+13/5) + 2y = 11

  [1]    16y/5 = 16/5

  [1]    16y = 16

// Solve equation [1] for the variable  y  

  [1]    16y = 16  

  [1]    y = 1  

// By now we know this much :

   x = 2y/5+13/5

   y = 1

// Use the  y  value to solve for  x  

   x = (2/5)(1)+13/5 = 3  

Solution :

{x,y} = {3,1}  

Answer 2

Answer:

(x,y)=(3,1)

Step-by-step explanation:

3x+2y=11

5x-2y=13

now, by using elimination method

3x+2y=11

+ 5x-2y=13

= 8x+0=24

now,

8x=24

x=24/8

x=3

now, to find y take any one of the equation from the question,

3x+2y=11

now, substitute x in this equation....

3×3+2y=11

9+2y=11

2y=11-9

2y=2

y=2/2

y=1

therefore,

(x,y)=(3,1)

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