What is the term for a set of two or more equations with the same variables?

What is the term for a set of two or more equations with the same variables?

• A. Inequality system
• B. Linear pair
• C. Two equations with different variables
• D. A set of two or more equations with the same variables.

Answer: (D)

When you have two or more equations that use the same variables, they form a system of equations. You’re looking for values that make every equation true at the same time, so the solution satisfies all equations in the set. For example, x + y = 5 and 2x − y = 1 share x and y, and together they form a system. Solving gives x = 2 and y = 3, which works for both equations. The other options describe different ideas (inequalities, a geometry term, or equations with different variables), so they don’t describe this situation.

When you have two or more equations that use the same variables, they form a system of equations. You’re looking for values that make every equation true at the same time, so the solution satisfies all equations in the set. For example, x + y = 5 and 2x − y = 1 share x and y, and together they form a system. Solving gives x = 2 and y = 3, which works for both equations. The other options describe different ideas (inequalities, a geometry term, or equations with different variables), so they don’t describe this situation.