The equations are
\ Equation (1)
Equation (2)
Multiply the first equation by 2
\Now the equation is
\ Equation (1)
Since the coefficients of the x-terms, +2 and +2, 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 negative 5)
(Cancel common terms)
Now Substitute 1 for y in either equation to find the value of x.
\ (Equation 1)
(Replace y by 1 )
(Subtract 1 from each side)
(Apply additive inverse property:
)
(Subtract:
)
The solution is (x, y) = (1, 1)
\The solution is (x, y) = (1, 1).