The equations are
\
Multiply the first equation by 2
\Now the equation is
\ Equation (1)
Since the coefficients of the x-terms, +10 and +10, 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)
x = 9
\Now Substitute x = 9 for x in either equation to find the value of y.
\ (Equation 2)
(Multiply:
)
Apply subtraction property of equality: Subtract 27 from each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Subtract:
)
Apply division property of equality: Divide each side by 10.
\ (Cancel common terms)
(Divide:
)
The solution is .
The solution is .