Solving systems of equations can be a challenging task. In this article, we will explore how to solve the system 300x + 130 = 200x + 120. In order to solve this system, we must first understand what it is asking us to do. This system of equations is asking us to find the value of x that will make both sides of the equation equal.
What is a System of Equations?
A system of equations is a set of two or more equations that contain the same variables. In this system, the equations are 300x + 130 = 200x + 120. To solve a system of equations, we must find the value of the variables that will make both sides of all of the equations equal. This can be done by adding, subtracting, multiplying, or dividing the equations until the same variable appears on both sides of the equation.
Solving the System
In order to solve this system, we must first subtract 200x from both sides of the equation. This will give us 100x + 130 = 120. Then, we must subtract 130 from both sides of the equation. This will give us 100x = -10. Finally, we must divide both sides of the equation by 100 in order to isolate the x variable. This will give us x = -0.1. This means that the value of x that makes both sides of the equation equal is -0.1.
Conclusion
Solving systems of equations can be a difficult task, but with practice and patience, you can master this skill. In this article, we discussed how to solve the system 300x + 130 = 200x + 120. We started by understanding what a system of equations is and then we solved the system by subtracting 200x from both sides, subtracting 130 from both sides, and then dividing both sides by 100. In the end, we found that the value of x that makes both sides of the equation equal is -0.1.
At the end of this article, we discussed how to solve the system 300x + 130 = 200x + 120. By subtracting 200x, subtracting 130, and then dividing both sides by 100, we found that the value of x that makes both sides of the equation equal is -0.1. With practice and patience, anyone can master solving systems of equations.
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