The equations are and
.
---------------------> (Equation 1)
---------------------> (Equation 2)
The first equation is .
Apply addition property of equality: If a = b then a + c = b + c.
\ (Add 7y to each side)
(Apply additive inverse property:
)
Apply division property of equality: If a = b then .
(Divide each side by 3)
(Cancel common terms)
To substitute for x in second equation.
(Apply standard division form:
)
(Divide:
)
Distribute terms using distributive property: .
(Multiply:
)
(LCM of 3, 1 is 3)
(Add: 14y + 21y = 35y)
Apply subtraction property of equality: If a = b then a c = b
c.
(Subtract 4 from each side)
Apply commutative property of addition: .
(Apply additive inverse property:
)
Apply multiplication property of equality: If a = b then .
(Multiply each side by 3)
(Zero product property:
)
(Cancel common terms)
Apply division property of equality: If a = b then .
(Divide each side by 35)
(Cancel common terms)
(Simplify)
To substitute in
.
(Zero product property:
)
The coordinate is (2, 0).
\The solution of the point is (2, 0).