The equations are
\ Equation (1)
Equation (2)
Substitute in equation 1.
According to subtraction property of equality: Subtract 2x from each side.
\
(Apply commutative property of addition:
)
(Apply additive inverse property:
)
(Apply additive identity property:
)
Find the least common denominator(LCD)
\Multiples of 2:2,4,6,10,12,14,16.....
\Multiples of 1:1,2,3,4,5,6,7,8,9,10....
\The least common multiple of 2 and 1 is 2.
\Rewrite each fraction with a common denominator of 2.
\Rewrite the expression using common denominator.
\ (Subtract:
)
(Subtract 3 from each side)
(Apply additive inverse property:
)
(Apply additive identity property:
)
(Subtract:
)
According to multiplication property of equality: Multiply each side by 2.
\ (Cancel common terms)
(Multiply:
)
(Divide each side by 3)
(Cancel common terms)
(Multiply each side by negative one)
(Product of two same signs is positive)
(Divide:
)
Substitute in equation (2).
(Multiply:
)
(Subtract:
)
The solution is .