
The equations are
\
Equation(1)
Equation(2)
\ \
Multiply the first equation each side by negative 6.
\
(Distributive property:
)
(Multiply:
)
Equation (3) (Multiply:
)
Multiply the second equation each side by 4.
\
(Distributive property:
)
(Multiply:
)
Equation (4) (Multiply:
)
Since the coefficients of the x-terms are additive inverses, x-terms
\ \can be eliminated by adding the equations 3 and 4.
\Write the equations in column form and add the corresponding columns.
\ \
(Divide each side by negative 22)
(Cancel common terms)
(Divide:
)
Substitute
in Equation (1).
(Multiply:
)
(Add 14 to each side) \ \
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 4)
(Cancel common terms)
(Divide:
)
The solution is
.