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 .