Understanding Linear Equations

What are the possible types of solutions for a linear equation?

• One solution, no solutions, or two solutions

• No solutions, two solutions, or infinitely many solutions

• One solution, no solutions, or infinitely many solutions

• One solution, two solutions, or infinitely many solutions

What is the first step in solving the given equation?

• Combining like terms

• Distributing terms on both sides

• Adding constants to both sides

• Subtracting variables from both sides

What happens when you distribute the terms on both sides of the equation?

• The equation has no solution

• Both sides of the equation become identical

• The terms cancel each other out

• The equation becomes more complex

What does it mean when a variable is equal to itself in an equation?

• The equation has no solution

• The variable must be zero

• The equation has exactly one solution

• The variable can be any value

How can you verify that an equation has infinitely many solutions?

• By graphing the equation

• By substituting different values and checking if both sides are equal

• By finding the determinant of the equation

• By solving for a specific value of the variable