Linear Equations with a negative x term
Linear Equations with a Negative x Term
Introduction
- Linear equations are represented in the form ax + b = c. The x value in the equation is the unknown variable that needs to be determined.
- If x exhibits a negative value or is being deducted in the equation, then one is dealing with a linear equation with a negative x term.
Elements of a Linear Equation
- The essential parts of a linear equation consist of a variable (x), constants (-a, b, c-), and an equals symbol (=).
Solving a Linear Equation with Negative x
- The equation remains balanced until the same activity (addition, subtraction, multiplication, or division) is applied to either side of the equation.
- To solve for x, start by eliminating the constants from the side of the equation where x resides by using additive or subtractive methods.
- Apply multiplication or division operations, if needed, to completely isolate x.
Examples
- For the equation -4x + 3 = 1, start by subtracting 3 from both sides to get -4x = -2. Then divide both sides by -4 to isolate x, thus x = 1/2.
- In the case of the equation -2x - 5 = -9, add 5 to both sides to get -2x = -4. Then divide each side by -2 to find x, thus x = 2.
Conclusion
- Understanding how to solve linear equations, specifically those with a negative x term, is a fundamental skill in algebra.
- Practicing these equations regularly with different examples can help to enhance skills for solving them accurately and quickly. REMEMBER, follow the order of operations: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction (PEMDAS).
- Mastery of these equations can also pave the way for comprehension of more complex algebraic topics like inequalities and algebraic fractions.