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Algebraic Method of Solving the System of Equation
There are different methods of solving the system of linear equations. The three different methods are:
(a) Elimination Method
(b) Substitution Method
(c) Cross Multiplication Method
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Elimination Method
In this method first we eliminate one of the variables by equating the coefficient of the one of the variable and finding the other variable. Then again re-substituting the value and getting the value of other variable.
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Solve the system of the equation given by \[\frac{4}{16x+24z}+\frac{12}{21x-14z}=\frac{1}{2}\] and \[\frac{14}{4x+6z}+\frac{4}{(3x-2z)}=2\]
(a) \[(x=2,z=1)\]
(b) \[(x=3,z=5)\]
(c) \[(x=-4,z=1)\]
(d) \[(x=1,z=-1)\]
(e) None of these
Answer: (a)
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The value of x and y which satisfies the system of equation \[ax+ry=p+q\] and
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