The equations are
\
Rewrite the second equation
\Apply addition property of equality: Add 9 to each side.
\ (Apply additive inverse property:
)
(Add y to each side)
Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Simplify) \ \
Since the coefficients of the x-terms, +1 and +1, 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)
Apply division property of equality: Divide each side by negative 8.
\ (Cancel common terms)
(Divide:
)
Now Substitute for y in either equation to find the value of x.
(Equation 1)
(Multiply:
)
Apply addition property of equality: Add 20 to each side.
\Apply commutative property of addition: a + b = b + a.
\ (Apply additive inverse property:
)
(Add:
)
The solution is .
The solution is .