$\"\"$

\

The system of equations are $\"\"$ and $\"\"$ .

\

$\"\"$ Equation (1)

\

$\"\"$ Equation (2)

\

Solve the first equation for c.

\

Apply addition property of equality: Add 5d to each side.

\

$\"\"$

\

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

\

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

\

Substitute $\"\"$ in $\"\"$ .

\

$\"\"$

\

Distribute terms using distributive property: a( b + c ) = ab + ac.

\

$\"\"$

\

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

\

$\"\"$ (Add: $\"\"$ ) $\"\"$ $\"\"$ (Add 48 to each side)

\

Rearrange the terms using commutative property of addition: a + b = b + a. \ \

\

$\"\"$

\

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

\

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

\

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

\

Apply division property of equality: Divide each side by 17.

\

$\"\"$

\

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

\

Now, find the c value by substituting $\"\"$ in $\"\"$ .

\

$\"\"$

\

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

\

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

\

The system of solution is $\"\"$ .