The equations are
\ Equation (1)
Equation (2)
Multiply the second equation by 4
\Now the equation is
\ Equation (2)
Since the coefficients of the x-terms, +4 and +4, are additive inverses,
\you can eliminate these terms by adding the equations.
\Subtract the equations to eliminate variable y.
\ (write the equations in column form and subtract)
(Divide each side by 11)
(Cancel common terms)
(Divide:
)
Now Substitute either equation to find the value of x.
(Equation 2)
(Replace y by
)
(Subtract 8 from each side)
(Apply additive inverse property:
)
(Subtract:
)
The solution is (x, y) = (5, )
The solution is (x, y) = (5, ).