Question

We can solve linear equations in one variable in the form ax+b=0ax+b=0 using standard algebraic properties. See Example 1 and Example 2. A rational expression is a quotient of two polynomials. We use the LCD to clear the fractions from an equation.

Answer 1

The subject is about solving linear equations and handling rational expressions in algebra, focusing on isolating variables, working with the Least Common Denominator, and understanding equality rules.

Step-by-step explanation:

The topic of the question involves solving linear equations and working with rational expressions in algebra. Linear equations are foundational components of algebra and can be expressed in the form y = mx + b, where 'm' represents the slope, and 'b' represents the y-intercept. Expressing equations graphically is another important aspect, where the relationship between the independent variable x and the dependent variable y is depicted as a line on a graph.

To solve a linear equation with one variable, you would isolate the variable on one side by performing algebraic operations on both sides of the equation. When dealing with rational expressions that involve fractions, you can clear the fractions by finding the Least Common Denominator (LCD) and multiplying each term by it to simplify the equation.

Understanding that each side of an equation must remain equal after algebraic operations is crucial. For instance, if a fraction has the same number in the numerator and the denominator, it simplifies to 1, which can be useful in solving equations involving complex fractions.