Special Case Equations

Front

What is a special case equation?

Back

A special case equation is an equation that has either no solution or infinitely many solutions, often resulting from the variables canceling out.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when the variables cancel out and the resulting statement is false, such as 0 = 5.

Front

What does it mean if an equation has infinitely many solutions?

Back

An equation has infinitely many solutions when the variables cancel out and the resulting statement is true, such as 0 = 0.

Front

Solve: 2x + 1 = 2x - 1

Back

No Solution

Front

Solve: 3y + 6 + 4y - 7 = -8

Back

y = -1

Front

What is the solution to the equation 5x + 3 = 5x - 2?

Back

No Solution

Front

Back

0

Front

Back

Infinite Solutions

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation, combining like terms.

Front

What is the importance of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.