Decide which story can be represented by the system of equations y = x + 6 and
x + y = 100. explain your reasoning.
a. diego's teacher writes a test worth 100 points. there are 6 more multiple
choice questions than short answer questions.
b. lin and her younger cousin measure their heights. they notice that lin is 6
inches taller, and their heights add up to exactly 100 inches.

Option A and Option B are correct answers.

Step-by-step explanation:

Option a: Diego's teacher writes a test worth 100 points. There are 6 more multiple choice questions than short answer questions.

Reason:

Let x denote the multiple choice questions.

Let y denote the short answer questions.

It is given that there are 6 more multiple choice questions than short answer questions and writing it as equations,

Also, given that Diego's teacher writes a test worth 100 points and writing it as equations,

Option b: Lin and her younger cousin measure their heights. They notice that Lin is 6 inches taller, and their heights add up to exactly 100 inches.

Reason:

Lin is represented by the variable y.

Her younger cousin is represented by the variable x.

It is given that Lin is 6 inches taller and writing it as equation, we get,

Also, given that their heights add up to exactly 100 inches and thus, writing it as equation, we get,

Thus, Option a and Option b represent the same system of equations. Hence, both story can be represented by the system of equations.

the monthly balance will be $75,000