Equations with no solutions or infinite solution

Front

What is an equation with no solution?

Back

An equation with no solution is one where no value of the variable can satisfy the equation. For example, 9y + 8 = 9y - 8 has no solution because simplifying leads to a false statement.

Front

What is an equation with infinite solutions?

Back

An equation with infinite solutions is one where any value of the variable satisfies the equation. For example, 5y - 15 = 5(y - 2) simplifies to a true statement for all values of y.

Front

Solve: 9y + 8 = 9y - 8

Back

No Solution

Front

Solve: 6(m + 3) = 5(m - 2)

Back

m = -28

Front

Solve: 2(m + 3) = 2m + 12

Back

No Solution

Front

Solve: 5.5 - x = -4.5 - x

Back

No Solution

Front

What does it mean if an equation simplifies to a true statement like 0 = 0?

Back

It means the equation has infinite solutions.

Front

What does it mean if an equation simplifies to a false statement like 0 = 5?

Back

It means the equation has no solution.

Front

Solve: 3x + 4 = 3x + 10

Back

No Solution

Front

Solve: 4(x - 1) = 4x - 4

Back

Infinite Solutions