The system of equations are and
.
Equation (1)
Equation (2)
Since , substitute
for y in the first equation.
Apply subtraction property of equality: Subtract 2x from each side.
\Rearrange the terms using commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
(Subtract 8 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: Divide each side by negative 6.
\ (Cancel common terms)
(Divide:
)
Now, find the y value by substituting in Equation 2.
(Multiply:
)
(Add:
)
The system of solution is .