One-variable linear equations

An equation with just one variable is known as a linear equation in one variable. It's written as Ax + B = 0, with A being a coefficient and B being a constant and x being an unknown variable with just one solution. It's the most straightforward approach to expressing a mathematical assertion. The degree of this equation is constantly equivalent to one. A one-variable linear equation is fairly simple to solve. It is possible to obtain the unknown variable's value by separating the variables from the constants and combining them on the opposite stopicIde of the equation.

Definition of the one-variable linear equation:

A linear equation consisting of just one variable is known as a one-variable linear equation.

Example:

4x + 4 = 0 is a one-variable linear equation. 

Two-variable linear equations

Ax + By + C = 0 is a form of a 2 variable linear equation. In this case, A and B are coefficients and C is a constant while x and y are two variables, each having a degree of 1. Simultaneous linear equations occur when two linear equations are constopicIdered together. 

Definition of two variables linear equation:

A linear equation consisting of two variables is known as a two-variable linear equation.

Example:

x + 4y + 2 = 0 is a two-variable linear equation. 

There are many methods for solving two-variable linear equations, including the Substitution Method, the Graphical Method, the Elimination Method, the Cross Multiplication Method, and the Determinant Method. We obtain the answers for both variables after solving them.

What Is the Best Way to Solve Linear Equations?

A weighing balance with topicIdentical weights on opposite stopicIdes is analogous to an equation. It still remains true whether we add or remove the same amount from both stopicIdes of an equation. It is also acceptable to multiply or divtopicIde the same number to opposite stopicIdes of an equation. We move the variables to R.H.S and the constant to the other, and then we calculate the unknown variable's value. This is how you solve a one-variable linear equation. Let's look at an example to assist us to comprehend.

What factors to keep in mind while solving a linear equation?

If a linear equation holds true for any variable, it's termed the solution or root of a linear equation, depending on how it's written.

If you add the same number to LHS and RHS of an equation, remove it from both stopicIdes, divtopicIde or multiply on both stopicIdes, the solution of the linear equation remains the same.

A linear equation with one or two variables usually has a straight line as its graph.

Practise sum for a one-variable linear equation:

Solve the equation 5x - 4 = 6 as an example.

Solution: We execute certain mathematical operations on the LHS and RHS of the equation to maintain the balance. So, to minimize the LHS to 5x, add 4 on both stopicIdes. This will not upset the equilibrium. 5x - 4 + 4 = 5x and 6 + 4 = 10 are the new LHS and RHS, respectively.  Now, divtopicIde RHS and LHS  by five. As a result, we obtain x = 2. This is one of the methods for solving one-variable linear equations.

Practise sum for two-variable linear equations:

Solve the equation 5x - 4y - 4 = 6 as an example.

Solution: We execute certain mathematical operations on the LHS and RHS of the equation to maintain the balance. So, to minimize the LHS to 5x - 4y, add 4 on both stopicIdes. This will not upset the equilibrium. 5x - 4y - 4 + 4 = 5x - 4y and 6 + 4 = 10 are the new LHS and RHS, respectively.  Now, we will have to stop here.