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Elimination Method:
The system of equations are
(Equation 1)
(Equation 2)
Neither variable has a common coefficient.The coefficient of the u - variables are and their least common multiply is ,so multiply each equation by the values that will make the u - coefficient .
Add the equations to eliminate u - variable.
Write the equations in column form and add the corresponding columns.
The result value is .
Now, find the u value by substitute in either equations.
(Write equation 1)
(Subtract from each side)
(Divide each side by )
(Substitute )
(Simplify)
To check the solutions,the values of u and v are substitute in system of equations.
(Write original equation 1)
(Substitute values of u and v)
(Equation 1 checks)
(Write original equation 2)
(Substitute values of u, v)
(Equation 2 checks))
The solutions are .
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