The equations are .
Equation (1)
Equation (2)
Since the coefficient of x is same in both equations, either equation can be used for solution. Solve the second equation for x.
\Apply addition property of equality: If a = b then a + b = b + a.
\ (Add y to each side)
(Apply additive inverse property:
)
Substitute in equation (1).
(Add:
)
Apply subtraction property of equality: If a = b then a b = b
a.
Apply commutative property of addition: .
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
Apply division property of equality: If a = b then .
(Divide each side by 4)
(Cancel common terms)
Substitute in equation
.
(Add: 8 + 1 = 9)
The solution is .