Number Of Solutions to Equations

Front

What does it mean if an equation has infinite solutions?

Back

An equation has infinite solutions when any value of the variable satisfies the equation, meaning the two sides of the equation are always equal.

Front

What is a unique solution in an equation?

Back

A unique solution means there is exactly one value of the variable that satisfies the equation.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there is no value of the variable that can make the equation true, indicating a contradiction.

Front

Solve for x: 6x + 3 = 6x + 3

Back

Infinite Solutions

Front

Solve for x: -2(x - 5) = 12 - 3x

Back

x = 2

Front

Solve for x: 3x - 1 = 1 - 3x

Back

x = 1/3

Front

Solve for x: 1/2x + 1/2x = x + 1

Back

No Solution

Front

What is the solution to the equation 2x + 4 = 2x + 4?

Back

Infinite Solutions

Front

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

Back

No Solution

Front

What does it mean when two equations are equivalent?

Back

Two equations are equivalent if they have the same solution set.