The system of equations are and
.
Equation (1)
Equation (2)
Solve the first equation for x.
\Apply addition property of equality: Add 16y to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by negative 4.
\\
\
(Cancel common terms)
Substitute in
.
Distribute terms using distributive property: a( b c ) = ab
ac.
(Multiply:
)
(Add:
)
Apply subtraction property of equality: Subtract 168 from each side.
\Rearrange the terms using commutative property of addition: a + b = b + a. \ \
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by negative 25.
\ (Cancel common terms)
Now, find the x value by substituting in
.
(Multiply:
)
(Subtract:
)
The system of solution is .