The equations are
\ Equation (1)
Equation (2)
Since the coefficients of the x-terms are additive inverses, you can eliminate these terms by adding the equations. Add the equations to eliminate variable x.
\Write the equations in column form and add the corresponding columns.
\Apply division property of equality: If a = b then
(Divide each side by –3)
(Cancel commmen terms)
(Divide:
)
Now Substitute – 2 for y in either equation to find the value of x.
\ (Equation 1)
(Replace y = -2)
(Multiply:
)
(Product of two same signs is positive) \ \
Apply subtraction proparty of equality: If a = b then
(Subtract 10 from each side)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
Apply division property of equality: If a = b then
(Divide each side by 3)
(Cancel commen terms)
(Divide:
)
The solution is
The solution is .