If X 12y 210 And X 6y 90 Then X
If X 12y 210 And X 6y 90 Then X
Many students struggle with math, especially when it comes to solving equations with multiple variables. In this article, we will look at how to solve equations with two variables, such as the equation "If X 12y 210 and X 6y 90, then X". To answer this equation, we must use algebraic equations and problem-solving skills.
Understanding the Basics of the Problem
Before we can go into how to solve this equation, it's important to understand what the equation is asking. This equation includes two variables, X and Y, and two equations. The first equation states that if X times 12Y is equal to 210, and the second equation states that if X times 6Y is equal to 90.
Using Algebra to Solve the Problem
To solve the equation, we must use algebraic equations to figure out the value of X and Y. To do this, we must first solve the equation for X. We can do this by multiplying both sides of the equation by Y, which will cancel out Y on the right side of the equation. The equation now looks like this: X 12Y 210xY.
Next, we can divide both sides of the equation by 12 to solve for X. This will give us the equation X 210/12Y. To solve for X, we must multiply both sides of the equation by 12, which will give us the following equation: X 210.
Using Problem-Solving Techniques
Now that we have the value of X, we can use problem-solving techniques to figure out the value of Y. To do this, we will use the second equation, X 6Y 90. We can solve this equation by dividing both sides by 6, which will give us the equation Y 90/6X. Now that we have the equation for Y, we can multiply both sides of the equation by 6 to get the equation Y 90.
Conclusion
In this article, we looked at how to solve the equation "If X 12Y 210 and X 6Y 90, then X". We used algebraic equations and problem-solving techniques to solve the equation and find the values of both X and Y. By understanding the basics of the problem and using algebra and problem-solving techniques, students can easily solve equations with multiple variables.