The equations are
\ Equation (1)
Equation (2)
Multiply the first equation by 2 and the second equation by 3.
\Then subtract the equations to eliminate the c variable.
\ (Subtract the corresponding columns)
Apply division property of equality: if a = b, then.
(Divide each side by negative 32)
(Cancel common terms)
(Divide:
)
Substitute in equation (2).
(Multiply:
)
Apply addition property of equality; if a = b, then a + c = b + c.
\ (Add 18 to each side)
(Apply Additive inverse property:
)
(Apply Additive identity property:
)
(Add:
)
Apply division property of equality: if a = b, then.
(Divide each side by 2)
(Cancel common terms)
(Divide:
)
The solution is
The solution is .