Linear Equations with a two x terms

Linear Equations with a two x terms

Linear Equations with Two x Terms

Introduction

  • A linear equation with two x terms is a basic algebraic equation and the simplest form of the polynomial equation.

  • It usually forms a straight line when graphed and commonly takes the form ax + bx = c, where a, b, and c are constants.

Main Feature

  • It has a degree of one, meaning the highest exponent of the variables (x’s) is one.

Understanding Linear Equations with Two x Terms

  1. Look for an equation with the form ax + bx = c.

  2. The objective is to simplify the equation by combining like terms that is, add the two x terms together.

  3. Rearrange the equation if necessary to have all variable terms on one side and constants on the other.

  4. Solve for x to find the solution or the set of solutions that make the equation true.

Examples

  • For example, in the equation 3x + 2x = 10, you will add the two x terms—3x and 2x. This results in 5x = 10.

  • Solve for x by dividing each side by 5, leaving x = 2.

  • Check the solution by substituting x = 2 into the original equation: 3(2) + 2(2) = 10. If the left-hand side equals the right-hand side, then your solution is correct.

Conclusion

  • Linear equations with two x terms is a fundamental topic in algebra.

  • Developing a strong understanding and solving ability helps build a good foundation for tackling more complex algebraic problems.

  • Improve your skills through continuous practice and always remember to check your solutions.