$\"\"$

\

The equations are

\

$\"\"$ Equation (1)

\

$\"\"$ Equation (2) \ \

\

\

\

Multiply the first equation by negative 6.

\

$\"\"$

\

\

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

\

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

\

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

\

$\"\"$ Equation (3)

\

$\"\"$

\

\

\

Multiply the second equation by 4.

\

$\"\"$

\

\

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

\

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

\

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

\

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

\ \

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.

\ \

$\"\"$

\

$\"\"$

\

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

\

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

\

$\"\"$ (Cancel commen terms)

\

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

\

Now Substitute $\"\"$ in either equation to find the value of x.

\

$\"\"$ (Equation 1)

\

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

\

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

\

$\"\"$ (Apply additive inverse proparty: $\"\"$ )

\

$\"\"$ (Apply additive identity proparty: $\"\"$ )

\

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

\

$\"\"$

\

$\"\"$ (Divide each side by 4)

\

$\"\"$ (Cancel commen terms)

\

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

\

The solution is $\"\"$ . $\"\"$

\

The solution is $\"\"$ .