Elimination Method:
\The system of equations are
\
Equation (1)
Equation (2)
Since the coefficients of y-terms are additive inverses, these terms can be
\elimanted by adding equations.
\Write the equations in column form and add the corresponding columns.
\
Apply division property of equality: Divide each side by 8.
\
(
)
(Cancel common terms).
Now, find the y value by substituting
in either equation.
(Equation 1).
(Multiply:
)
Apply subtraction property of equality: Subtract 32 from each side.
\
Rearrange the terms using commutative property of addition:
.
\ \
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Sbtract:
)
(Divide each side by negative 3)
(Cancel common terms)
The system of solution is
.