\"\"

\

Elimination Method:

\

The equations are

\

\"\"                        Equation (1)

\

\"\"                                Equation (2)

\

Multiply the second equation by 3.

\

\"\"

\

\"\"                          Equation (3)     \"\"

\

Since the coefficients of the y-terms are additive inverses, you can eliminate

\

these terms by adding the equations.  Add the equations to eliminate variable y.

\

Write the equations in column form and add the corresponding columns.

\

\"\"\"\"

\

Apply division property of equality: if a = b then \"\"

\

\"\"                              (Divide each side by negative 2)

\

\"\"                                   (Cancel common terms)

\

\"\"                                        (Divide: \"\")\"\"

\

Now, find the y value by substituting \"\" in either equation.

\

\"\"                (Equation 1)

\

\"\"                       (Add 9 to each side)

\

\"\"                       (Apply commutative property of addition: \"\")

\

\"\"                                (Apply additive inverse property: \"\")

\

\"\"                                   (Apply additive identity property: \"\")

\

\"\"                                       (Add: \"\")

\

\"\"                             (Multiply each side by negative one)

\

\"\"                                      (Product of two same signs is positive) \"\"

\

The solution is \"\".