Solving Equations with No Solution and Infinite Solutions

Front

What is an equation with no solution?

Back

An equation with no solution is one where no value of the variable satisfies the equation, meaning the two sides are never equal.

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, meaning the two sides are always equal.

Front

Solve: 14 - 2(3p + 1) = 6(4 + p)

Back

p = -1

Front

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

Back

y = -1

Front

Solve: 5x - 14 = 8x + 4

Back

x = -6

Front

Solve: 3(x - 8) = 3x - 24

Back

Infinite Solutions

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value of the variable that makes the equation true.

Front

What is the first step in solving the equation 2x + 3 = 11?

Back

Subtract 3 from both sides to isolate the term with the variable.

Front

What is the solution to the equation 2x + 3 = 11?

Back

x = 4

Front

How do you determine if an equation has no solution?

Back

If simplifying the equation leads to a false statement, such as 0 = 5, it has no solution.