The equations are
\ Equation (1)
Equation (2)
Solve the equation 1 for variable a in terms of the variable
\Apply addition property of equality; if a = b, then a + c = b + c.
\ (Add b to each side)
(Apply additive inverse property:
)
Substitute for a in equation 2.
Distribute terms using distributive property: a(b + c) = ab + ac.
\ (Multiply:
)
(Add:
)
Apply addition property of equality; if a = b, then a + c = b + c.
\ (Add 4 to each side)
Rearrange the terms using commutative property of addition: a + b = b + a.
\b = 3 + 4 (Apply additive inverse property: )
(Add:
)
Substitute 7 for b in equation (1).
\ (Add 7 to each side)
(Apply additive inverse property:
)
(Add:
)
The solution is .
The solution is .