Solving Linear Equations: A Step-by-Step Guide
In this article, we will explore the world of linear equations and learn how to solve them. We will use the equation 2(1-0)3x=0 and 4x as examples to illustrate the steps involved in solving these types of equations.
What is a Linear Equation?
A linear equation is an equation in which the highest power of the variable(s) is 1. In other words, a linear equation is an equation that can be written in the form:
ax + by = c
where a, b, and c are constants, and x and y are variables.
Solving Linear Equations
Now, let's solve the equation 2(1-0)3x=0.
Step 1: Simplify the Equation
The first step in solving a linear equation is to simplify the equation by combining like terms. In this case, we can simplify the equation by evaluating the expression inside the parentheses.
2(1-0)3x=0 2(1)3x=0 2(3x)=0 6x=0
Step 2: Isolate the Variable
The next step is to isolate the variable x. We can do this by dividing both sides of the equation by 6.
6x=0 x=0/6 x=0
Therefore, the solution to the equation 2(1-0)3x=0 is x=0.
Solving Another Linear Equation
Now, let's solve the equation 4x=0.
Step 1: Simplify the Equation
The equation 4x=0 is already simplified, so we can move on to the next step.
Step 2: Isolate the Variable
To isolate the variable x, we can divide both sides of the equation by 4.
4x=0 x=0/4 x=0
Therefore, the solution to the equation 4x=0 is also x=0.
Conclusion
In this article, we learned how to solve linear equations by simplifying the equation and isolating the variable. We used two examples, 2(1-0)3x=0 and 4x=0, to illustrate the steps involved in solving these types of equations. By following these steps, you can solve linear equations with ease.
