The equations are
\ (equation 1)
(equation 2)
Since
Rewrite the second equation for x.
\ (Subtract 2y from each side)
(Additive inverse property:
)
(Additive identity property:
)
Now Substitute for x in either equation to find the value of y.
(equation 1)
(replace
)
(Distributive property:
)
(Multiply:
)
(Subtract:
)
(Subtract 20 from each side)
(Commutative property:
)
(Additive inverse property:
)
(Additive identity property:
)
(Subtract:
)
(Divide each side by 70)
(Cancel common terms)
(Multiply each side by negative one)
(Product of two same signs is positive)
Now
(replace y by 1)
(Multiplicative identity property:
)
(Subtract:
)
The solution is
The solution is .