Question

Is the point ​(77​,22​) a solution to the equation 6x−3y=36? Why or why​ not?
Is ​(77​,22​) a solution of 6x−3yequals=36​?


A.Yes​, because replacing x with 77 and y with 22 in the equation results in true
statement.

B.Yes​, because replacing x with 22 and y with 77 in the equation results in true statement.

C.No​, because replacing x with 77 and y with 22 in the equation results in false statement.

D.No​, because replacing x with 22 and y with 77 in the equation results in false statement.

Answer 1

Answer: Option C.No​, because replacing x with 77 and y with 22 in the equation results in false statement.

Answer 2

First let's rewrite the point correctly:
 the point is: (7, 2)
 Let's evaluate the given point in the equation.
 We have then:
 x = 7
 y = 2
 Evaluating we have:
 6 (7) -3 (2) = 36
 Rewriting:
 42-6 = 36
 36 = 36
 We observe that equality is fulfilled. Therefore, the given point is the solution of the equation.
 Answer:
 A.Yes, because replacing x with 7 and y with 2 in the equation results in true statement