

The equation is
.
The above equation is solve for "z".
\Apply multiplication property of equality: Multiply each side by z.
\
(Cancel common terms)
(Multiply:
)
Combine like terms using distributive property: ab
ac = a(b
c).

The LCM of x,y is xy.
\Rewrite the equation using LCD.
\
Apply subtraction property of equality: Subtract 1 from each side.
\
(Apply additive inverse property:
)
(Apply additive identity property: a + 0 = a)
Apply subtraction property of equality: Subtract z from each side.
\
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Combine like terms using distributive property: ab
ac = a(b
c).
(Cancel common terms)
Apply division property of equality: Divide each side by
.

(Cancel common terms) \ \
The solution is
.