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 .
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