\"\"\"\"

\

The equations are

\

\"\"                       Equation(1)

\

\"\"               Equation(2)

\

 

\ \

Multiply the first equation each side by negative 6.

\

\"\"

\

\"\" (Distributive property:  \"\")

\

  \"\"    (Multiply: \"\")

\

\"\"   Equation (3) (Multiply: \"\")\"\"

\

Multiply the second equation each side by 4.

\

\"\"

\

\"\"        (Distributive property:  \"\")

\

  \"\"           (Multiply: \"\")

\

\"\"   Equation (4) (Multiply: \"\")\"\"

\

Since the coefficients of the x-terms are additive inverses, x-terms

\ \

can be eliminated by adding the equations 3 and 4. 

\

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

\ \

\"\"

\

\"\"        (Divide each side by negative 22)

\

  \"\"                 (Cancel common terms)

\

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

\

Substitute  \"\" in Equation (1).

\

 \"\"

\

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

\

\"\" (Add 14 to each side) \ \

\

\"\"             (Additive inverse property: \"\")

\

\"\"                    (Additive identity property: \"\")

\

\"\"                          (Subtract: \"\")

\

\"\"

\

\"\"                     (Divide each side by 4)

\

  \"\"                        (Cancel common terms)

\

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

\

The solution is\"\".