Mathematics » Introducing Decimals » Solve Equations with Decimals

# Key Concepts

## Key Concepts

• Determine whether a number is a solution to an equation.
• Substitute the number for the variable in the equation.
• Simplify the expressions on both sides of the equation.
• Determine whether the resulting equation is true.

If so, the number is a solution.

If not, the number is not a solution.

• Properties of Equality
 Subtraction Property of Equality Addition Property of Equality For any numbers $$a$$, $$b$$, and $$c$$, $$\text{If } a = b$$ $$\text{then } a − c = b − c$$ For any numbers $$a$$, $$b$$, and $$c$$, $$\text{If } a = b$$ $$\text{then } a + c = b + c$$ Division of Property of Equality Multiplication Property of Equality For any numbers $$a$$, $$b$$, and $$c\ne 0$$, $$\text{If } a = b$$ $$\text{then } \frac{a}{c} = \frac{b}{c}$$ For any numbers $$a$$, $$b$$, and $$c$$, $$\text{If } a = b$$ $$\text{then } a⋅c = b⋅c$$