An ancient artifact is four times older than an antique book. In 200 years, the artifact will be 3 times older than the book. How old is the artifact now?

The ancient artifact is 213 years old.

Step-by-step explanation:

⟹Lets Solve!

⟹The first step is to find our variables, so let's look back at the question!

    An ancient artifact is four times older than an antique book. In 200 years,         the artifact will be 3 times older than the book.

⟹ Our variables are the ancient artifact an the antique book!

x can represent the ancient artifact and y can represent the antique book.

⟹Lets create our equation.

:  In 200 years, the artifact will be 3 times older than the book.

An ancient artifact is four times older than an antique book.

⟹We can substitute for in !

⟹Lets multiply both sides by 4 so we can isolate y.

x4        x4

⟹Now subtract y from both sides.

-y             -y

⟹Flip the equation.

⟹Divide both sides by 15!

 ➤

⟹Now solve x but substitute y for 160/3.

⟹Multiply.

⟹ We do not need to subtract 200 from both sides, because the question asks the age of the artifact 200 years later.

➧The ancient artifact is 213 years old.

⟹Woohoo! Brainliest much appreciated! Hope I helped!

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)