The system of equations are and
.
Equation (1)
Equation (2)
Solve the second equation for x.
\Apply subtraction property of equality: Subtract 4y from each side.
\\
(Apply additive inverse property:
)
(Apply additive identity property:
)
Apply division property of equality: Divide each side by 8.
\ (
)
(Cancel common terms)
Substitute in equation (1).
(
)
(Cancel common terms)
Distribute terms using distributive property: a( b c ) = ab
ac.
(Multiply:
)
(Subtract:
)
(Subtract 33 from each side)
Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Divide each side by negative 10)
(Cancel common terms)
Now, find the x value by substitute in
.
(Subtract:
)
(Divide:
)
The system of solution is .