Multi-Step Equations with No Solutions and Infinite Solutions

Front

What is a multi-step equation?

Back

A multi-step equation is an equation that requires more than one step to solve, often involving operations like addition, subtraction, multiplication, and division.

Front

What does it mean if an equation has no solution?

Back

An equation has no solution when there are no values that can satisfy the equation, often resulting in a contradiction.

Front

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

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation, often resulting in an identity.

Front

Solve the equation: 4 - 6x - 2 = -2(3x - 1)

Back

infinitely many solutions

Front

Solve the equation: 3x - x + 2 = 4(2x - 1)

Back

x = 1

Front

Solve the equation: 5y - 15 = 5(y - 2)

Back

No Solution

Front

Solve the equation: 10 = 4x - 2

Back

x = 3

Front

Solve the equation: 2 + 14a = -8 + 9a

Back

a = -2

Front

What is the first step in solving multi-step equations?

Back

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

Front

What is the purpose of isolating the variable in an equation?

Back

Isolating the variable helps to find its value by getting it alone on one side of the equation.