Algebra is an important part of mathematics. It is easy to learn by constant and regular practice. It is defined as a broad area of mathematics. It includes geometry, number theory, and analysis. It is the study of mathematical formulas. You need the constant guidance of teachers to solve algebraic equations. You need a reasoning power to understand various formulas of algebra. A linear equation is a part of algebra that is not difficult once you learn the basics. It is called a subset of equations. To solve a linear equation you require a pen and paper.
An equation having more than one variable can be solved by various methods of linear equation. In this equation X stands for a variable and the terms a, b stand for constants.
The linear equation is also known as a mathematical statement, having the symbol “=”.The linear equation has a degree of 1. It is called a linear combination of one or more than one term. It is written with two or one variable where a constant is present. After solving a linear equation if the values are plotted on the graph it gives a straight line.
There are many methods to solve a linear equation. The most common method to solve a linear equation is to take variables on one side, the left-hand side, and the numeric part on the right-hand side. An example of such kind of equation is x – 1 = 5 – 2x.
One step linear equation is represented by such type of equation- X+ 1 = 4. In such equations, the student should isolate the x term by subtracting one from both sides. After subtracting one from both the side we get the following equation X+ 1-1=4-1, and lastly we get x is equal to three.
In the case of solving two steps linear equation, we take the constant term on one side and x term on another side. The example for two-step linear equation is 3x + 4 = 10. In such equation we subtract 4 from both the side, 3x+ 4 – 4 = 10 – 4 and we get 3x + 0 = 6. In the next step we take the numerical part on the right-hand side, 3x = 6 – 0. We get finally 3 x is equal to zero. Now the numerical part is divided by 6 and we get finally x is equal to 2.
Cuemath is an online website that teaches students various mathematical formulas. It is a class that gives one-to-one riders to the students. It helps in developing the mind of the students so that they cultivate an attitude of problem-solving practice.
A linear equation with two negative numbers is difficult to solve. Before solving such equations we should keep in mind the following tips.
1. Negative X negative is equal to positive
2 positive X positive is equal to positive.
3. Positive X negative is equal to negative
Linear equations having multiple terms and variables require constant and regular guidance from a teacher. In this equation, we need to combine the like terms in the same way as we combine the constants. This is done by adding or subtracting the coefficient and keeping the same variable.
Another system of the linear equation having two equations with two variables is solved by reducing it to a single equation with a single variable. Solving an equation is not difficult if you know the basics. In the equations having only fractions, we use the least common denominator to solve the fractions. In this type, we multiply both sides of an equation by the least common denominator. We should keep in mind that if the variable in the denominator is a fraction then we should identify the variable values. This is solved the division by zero.
The next step involves a simplification of both the sides, clearing of the parentheses, and a combination of the like terms and then we divide both the sides of the equation by a coefficient. An important thing to be kept in mind while solving the variable equation is to verify your answer.