
The equations are
\
Equation (1)
Equation (2)
Solve the second equation for p in terms of q.
\Apply addition property of equality; if a = b, then a + c = b + c.
\
(Add 4q to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
Combine like terms using distributive property:
.

Apply division property of equality: if a = b, then
.
(Divide each side by 2)
(Cancel common terms)
Substitute
in Equation (2).

Distribute terms using distributive property:
.

(Multiply:
)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
q = 0
\Substitute
in equation in equation
.

(Apply zero product property:
)
(Apply additive identity property:
)
The solution is
.