\"\"

\

Elimination Method:

\

The equations are

\

\"\"                                  Equation (1)

\

\"\"                                 Equation (2)

\

Multiply the first equation by 2.

\

\"\"

\

\"\"                                Equation (3)     

\

Multiply the second equation by 7.

\

\"\"

\

\"\"                                                       Equation (4)     \"\"

\

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 29)

\

\"\"                                                 (Cancel common terms) \"\"

\

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

\

\"\"                                   (Equation 1)

\

\"\"                                      (Multiply: \"\")

\

\"\"                          (Add 3 to each side).

\

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

\

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

\

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

\

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

\

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

\

\"\"                                          (Divide each side by 2)

\

\"\"                                               (Cancel common terms)

\

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

\

The solution is \"\".