\
\
| \
\
| \
|||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
PAGE NO. 269 PROBLEM NO. 9 \ \
The equations are
\ Equation (1)
Equation (2)
Since the coefficients of the y-terms are additive inverses, you can eliminate these terms by adding the equations. Add the equations to eliminate variable y.
\Write the equations in column form and add the corresponding columns.
\Apply division property of equality: If a = b then
(Divide each side by 4)
(Cancel commen terms)
(Divide:
)
Now substitute for x in either equation to find the value of y.
(Equation 1)
(Replace x by
)
(Multiply:
)
(Divide:
)
Apply subtraction proparty of equality: If a = b then
(Subtract 18 from each side)
(Commutative proparty:
)
(Additive invere proparty:
)
(Subtract:
)
Apply division property of equality: If a = b then
(Divide each side by –3)
(Cancel commen terms)
(Divide:
)
The solution is
The solution is .