No Solution, One Solution, Infinite Solutions

Front

What does it mean if an equation has Infinite Solutions?

Back

An equation has Infinite Solutions when every value of the variable satisfies the equation, meaning the two sides of the equation are identical for all values.

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

What does it mean if an equation has One Solution?

Back

An equation has One Solution when there is exactly one value of the variable that satisfies the equation.

Front

Solve the equation: 12(y+2)=6(2y+4)

Back

Infinite Solutions

Front

Solve the equation: -10y-6 = -10y-6

Back

Infinite Solutions

Front

Solve the equation: 8m+12=2(4m+6)

Back

Infinite Solutions

Front

Solve the equation: 9y+8=9y-8

Back

No Solution

Front

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

Back

No Solution

Front

What is an example of an equation with Infinite Solutions?

Back

An example is 2x + 4 = 2(x + 2). Both sides simplify to the same expression.

Front

What is an example of an equation with No Solution?

Back

An example is 3x + 5 = 3x - 2. This leads to a contradiction (5 = -2).