\ \
The equations are
Equation (1)
Equation (2)
Multiply the first equation by 4.
\ Equation (3)
Since the coefficients of the y-terms are additive inverses, y-terms can be eliminated by adding the equations 2 and 3.
\Write the equations in column form and add the corresponding columns.
\
(Divide each side by –11)
(Divide:
)
Now substitute 2 for x in either equation to find the value of y.
\ (Equation 2)
(Replace x by –2)
(Multiply:
)
(Add 6 to each side)
(Add:
)
(Divide each side by 4)
(Divide:
)
The solution is
The solution is .