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a1x+b1y=c1

a2x+b2y=c2

Posted in Math, asked by nickson, 6 years ago. 1678 hits.

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given equations,a1X+b1Y=c1---------(1)

                        a2X+b2Y=c2---------(2)

   multifly the eqn(1) with b2 and eqn(2) with b1 then,

                      we will get, a1b2X+b1b2Y=b2c1-------(3)

                                     a2b1X+b1b2Y=b1c2--------(4)

substract equation (3)&(4) then we will get, = a1b2X-a2b1X=b2c1-b1c2

                                                         = (a1b2-a2b1)x=b2c1-b1c2

                                                         =X=b2c1-b1c2/a1b2-a2b1

multifly eqn(1) with a2 and eqn(2)with  a1 then

 we will get                                    a1a2X+a2b1Y=c1a2------(5)

                                                    a1a2X +a1b2Y=c2 a1----(6)

substract eqn(5)&(6) then,   a2b1Y-a1b2Y=c1a2-c2a1

                                      =(a2b1-a1b2)y=c1a2-c2a1

                                       =y=c1a2-c2a1/a2c1-a1c2 

       

Venkat Nagendra Thati
Venkat Nagendra Thati - 6 years ago
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