One solution, No Solution, Infinitely Many Solutions

Front

What does it mean if an equation has one solution?

Back

An equation has one solution if there is exactly one value of the variable that makes the equation true.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution if there is no value of the variable that can satisfy the equation.

Front

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

Back

An equation has infinitely many solutions if there are countless values of the variable that satisfy the equation, often because the equation simplifies to a true statement.

Front

Solve the equation: 10y - 9 - 10 = 4y + 6y - 19

Back

Infinitely Many Solutions

Front

Solve the equation: -4z + 8 = 3z - 6

Back

One Solution

Front

Solve the equation: 5x + 8 - x = 6x + 8 - 2x

Back

Infinitely Many Solutions

Front

Solve the equation: 8m - 11 = 5m + 4 + 3m

Back

No Solution

Front

Solve the equation: y - 11 + 4y = 3(y - 6)

Back

One Solution

Front

What is the first step in solving a linear equation?

Back

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

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed, typically in the form ax + b = c.