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Step-by-step Answer
PAGE: 171SET: ExercisesPROBLEM: 1
Please look in your text book for this problem Statement

The system of equations are , and .

Solve the system of equations by elimination method.

Step 1:

Eliminate one variable by using two pairs of equations.

Subtract the 2nd and 3rd equations to eliminate the one variable.

Step 2:

Solve the system of two equations containing and to find value.

                    (Divide each side by )

                                    (Cancel common terms)

Substitute into any one of the original equation to find value.

                       (Third equation)

                    (Substitute )

                       (Multiply)

       (Subtract from each side)

                              (Apply additive inverse property: )

                          (Divide each side by )

                                 (Cancel common terms)

Step 3:

Substitute values of and    into one of the original equation to find value.

              (Second equation)

      (Substitute and )

           (Multiply)

                    (Combine like terms)

   (Add to each side)

                              (Apply additive inverse property: )

                         (Divide each side by )

                                (Cancel common terms)

Thereore, the solution is , and .

Check solutions for and values.

               (Second equation)

(Substitute , and )

              (Multiply)

                         (Add: )

The solution of the system is .

The solution of the system is .



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