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
.