The system of equations are and
.
Equation (1)
Equation (2)
Solve the first equation for x.
\Apply subtraction property of equality: Subtract 5y from each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
Substitute in equation (2).
Distribute terms using distributive property: a( b c ) = ab
ac.
(Multiply:
)
(Subtract:
)
(Subtract 9 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 17.
\ (Cancel common terms)
Now, find the x value by substituting in Equation 2.
(Multiply:
)
Apply addition property of equality: Add 2 to each side.
\ (Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
(Divide each side by 3)
(Cancel common terms)
(Divide:
)
The system of solution is .