Question

What are the methods for solving a system of equations?

A) Elimination Method
B) Substitution Method
C) Graphical Method
D) All of the above

Answer 1

The methods for solving a system of equations are the Elimination Method, the Substitution Method, and the Graphical Method. These methods are employed to find the set of values that satisfy multiple equations in a system.

Step-by-step explanation:

The methods for solving a system of equations include the Elimination Method, the Substitution Method, and the Graphical Method. These are all valid approaches to determine the values of variables that satisfy multiple equations simultaneously.

• The Elimination Method involves adding or subtracting equations to eliminate one of the variables, making it possible to solve for the other variable.
• The Substitution Method consists of solving one equation for one variable and then substituting that expression into another equation.
• The Graphical Method entails plotting each equation on a graph and identifying the point(s) where the lines intersect as the solution(s).

Each method has its own advantages, and the choice of method can depend on the particular system of equations at hand.