Elimination Method:
\The equations are
\ Equation (1)
Equation (2)
Since the coefficients of b-terms are additive inverses, these terms can be
\elimanted by adding equations.
\Write the equations in clumn form and add the corresponding columns.
\According to division property of equality: Divide each side by 3.
\ (Cancel common terms).
Now, find the b value by substituting in either equation.
(Equation 1).
(Product of two different signs is negative)
According to addition property of equality: Add 2 to each side.
\ (Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Add:
)
According to division property of equality: Divide each side by 3.
\ (Cancel common terms)
(Multiply each side by negative one)
(Product of two same signs is positive)
The solution is .