Solve the system of equation using Substitution Method:
\The equations are
\ Equation (1)
Equation (2)
Solve the equation (1) for y.
\Apply subtraction property of equality: if a = b, then .
(Subtract 4x from each side)
Apply commutative property of addition: .
(Apply Additive inverse property:
)
(Multiply each side by negative one)
(Product of two same signs is positive)
Substitute in Equation (2).
Distribute terms using distributive property: .
(Simplify)
(Add:
)
Apply subtraction property of equality: if a = b, then .
(Subtract 40 from each side)
(Apply Additive inverse property:
)
(Subtract:
)
Apply division property of equality: if a = b, then.
(Divide each side by 9)
(Cancel common terms) \ \
(Divide:
)
Substitute in equation
.
Apply addition property of equality: if a = b, then .
(Add 1 to each side)
(Add: 13 + 3 = 16)
(Apply additive inverse property:
)
Apply division property of equality: if a = b, then.
(Divide each side by 2)
(Cancel common terms) \ \
(Divide:
)
The solution is.