Question

Solve the simultaneous equation
49x-51y=25; 51x-49y=75​

Answer 1

Answer:

x = 13            y = 12

Step-by-step explanation:

You can follow this easy trick: Whenever there are same co-efficient for different terms, add and subtract the equations and then eliminate.

Answer:

ADD : 49x - 51y = 25

        + 51x - 49y = 75

Sum = 100x - 100y = 100

Now, divide the equation by 100, we get

      x - y = 1 ----------------------------> Equation 1

SUBTRACT: 49x - 51y = 25

                  (-)51x - 49y = 75

                          (+)        (-)    

                  -2x - 2y = -50      

Now, divide the equation by (-2), we get

     x + y = 25 -----------------------------> Equation 2

Now, elimination Equations: 1 and 2

  x - y = 1                                    

  x + y = 25

 2x = 26

x = 13

Since x = 13; Substitute

x - y = 1

13 - y = 1

y = 13-1

y = 12

Therefore x = 13 and y = 12.