Solving "4X - 3Y + 2X + Y + 7" In Relaxed English Language

solve by substitution method 2x+y=7, 4x3y+1=0 Brainly.in from brainly.in

Introduction

As a professional teacher, I understand that math can be a daunting subject for many students. However, with the right approach and explanation, it can be easily understood. In this article, we will be looking at how to solve the expression "4x - 3y + 2x + y + 7" in relaxed English language.

Breaking Down the Expression

The first step in solving this expression is to break it down into smaller parts. We can do this by grouping the like terms together. Like terms are terms that have the same variables raised to the same powers. In this expression, we have two x terms and two y terms. Therefore, we can group them together as follows: 4x + 2x - 3y + y + 7

Combining Like Terms

Once we have grouped the like terms together, we can combine them by adding or subtracting their coefficients. In this case, we can add the coefficients of the x terms and the y terms separately as follows: 4x + 2x = 6x -3y + y = -2y Therefore, the expression becomes: 6x - 2y + 7

Final Answer

This is the final answer to the expression "4x - 3y + 2x + y + 7". It can also be written in the reverse order as follows: 6x - 2y + 7 = 7 + 6x - 2y

Explanation of the Solution

To explain the solution in simpler terms, we can say that we first grouped the like terms together to make the expression simpler. We then combined the coefficients of the like terms to get the final answer. The answer is a simplified expression that has no like terms that can be combined further.

Importance of Understanding Like Terms

Understanding like terms is important in math because it makes solving expressions easier. By grouping the like terms together, we can simplify the expressions and make them easier to work with. This is especially important when dealing with more complicated expressions.

Practice Exercise

To practice solving expressions with like terms, try the following exercise: 2x + 3y - 4x + y + 8

Solution:

First, we group the like terms together: 2x - 4x + 3y + y + 8 Next, we combine the like terms: -2x + 4y + 8 Therefore, the solution is: -2x + 4y + 8

Conclusion

Solving expressions with like terms is an important skill in math. By understanding how to group and combine like terms, we can simplify expressions and make them easier to work with. This skill is important for more advanced math concepts, and it is something that every student should strive to master.