The system of equations are and
.
Equation (1)
Equation (2)
Solve the second equation for g.
\Apply addition property of equality: Add 32f to each side.
\\
Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by negative 12.
\\
\
(Cancel common terms)
Substitute in
.
Distribute terms using distributive property: a( b c ) = ab
ac.
(Multiply:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Because the equation is not true, this system has no solutions.
The system has no solution.