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,
[tex]y=x+6[/tex]
Also, given that Diego's teacher writes a test worth 100 points and writing it as equations,
[tex]x+y=100[/tex]
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,
[tex]y=x+6[/tex]
Also, given that their heights add up to exactly 100 inches and thus, writing it as equation, we get,
[tex]x+y=100[/tex]
Thus, Option a and Option b represent the same system of equations. Hence, both story can be represented by the system of equations.
The story that can be represented with the system of equations is story B.
Description of simultaneous equations
Simultaneous equations are a set of two or more equations that have to be solved together in order to determine the needed values.
If Lin is 6 inches taller than her cousin, if Lin's height is represented with y and her cousin's height is represented with x, then the equation is: y = x + 6. If the sum of their ages is 100, this can be represented with: x + y = 100.
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552