Elimination Method:
The 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.
According to division property of equality: Divide each side by 2.
(Cancel common terms)
Now, find the y value by substituting in either equation.
(Equation 1)
According to subtraction property of equality: Subtract 2 from each side.
(Apply commutative property of addition: )
(Apply additive inverse property: )
(Apply additive identity property: )
(Subtract: )
The solution is .
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