Question

2x+3y=5 x-2y=7 solve this​

Answer 1

Answer:

{x,y} = {31/7,-9/7}  

 

System of Linear Equations entered :

  [1]    2x + 3y = 5

  [2]    x - 2y = 7

Graphic Representation of the Equations :

   3y + 2x = 5        -2y + x = 7  

 

 

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    x = 2y + 7

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

  [1]    2•(2y+7) + 3y = 5

  [1]    7y = -9

// Solve equation [1] for the variable  y  

  [1]    7y = - 9  

  [1]    y = - 9/7  

// By now we know this much :

   x = 2y+7

   y = -9/7

// Use the  y  value to solve for  x  

   x = 2(-9/7)+7 = 31/7  

Solution :

{x,y} = {31/7,-9/7}

x= 31/7

y= -9/7

Answer 2

Answer

2x+3y= 5 -------(1)

x-2y=7 -----------(2)

Multiplying equation (2) with "2"

We get

2x+4y = 14 -------(3)

Now

equation (3)-(1)

$\implies\rm\boxed{y = 9}$

putting y = 9 in equation (2)

We get

$\implies\rm\boxed{x = 25}$