Question

Solve simultaneous equations by using the elimination method.
7x - 3y = 18
6x + 7y = 25​

Answer 1

Answer:6x-7y=25;7x-3y=18

This deals with linear equations with two unknowns.

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1 result(s) found

{x,y}={  

31

51

​  

,−  

31

67

​  

}

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Step by Step Solution:

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System of Linear Equations entered :

  [1]    6x - 7y = 25

  [2]    7x - 3y = 18

Graphic Representation of the Equations :

   -7y + 6x = 25        -3y + 7x = 18  

 

 

Solve by Substitution :

// Solve equation [2] for the variable  x  

 

 [2]    7x = 3y + 18

 [2]    x = 3y/7 + 18/7

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

  [1]    6•(3y/7+18/7) - 7y = 25

  [1]     - 31y/7 = 67/7

  [1]     - 31y = 67

// Solve equation [1] for the variable  y  

  [1]    31y = - 67  

  [1]    y = - 67/31  

// By now we know this much :

   x = 3y/7+18/7

   y = -67/31

// Use the  y  value to solve for  x  

   x = (3/7)(-67/31)+18/7 = 51/31  

Solution :

{x,y} = {51/31,-67/31}

Step-by-step explanation: