Question
Here is the question : IF X/3 = (2X + 3)/7, WHAT IS THE VALUE OF X?
Option
Here is the option for the question :
- 9
- 16
- 25
- 36
The Answer:
And, the answer for the the question is :
Explanation:
To find a solution to this equation, you must first do a cross-multiplication on the numerators and denominators, which will result in a new equation with the form 7x = 3(2x + 3). After that, multiply the right-hand side of the equation by three to get 7x = 6x + 9. Finally, to obtain the numbers with the variables on the same side, we find that x = 9 can be obtained by subtracting 6x from 7x.
When solving equations in mathematics, we are trying to find the value of the variable that makes the equation true. In the equation given, we are asked to find the value of x if x/3 = (2x + 3)/7.
To solve for x, we can start by cross-multiplying the equation. This means multiplying both sides of the equation by the denominators of the fractions to eliminate them. To do this, we can multiply both sides of the equation by 3 and 7, which gives us:
7x = 3(2x + 3)
Next, we can simplify the right-hand side of the equation by distributing the 3, which gives us:
7x = 6x + 9
Now we can isolate x on one side of the equation by subtracting 6x from both sides, which gives us:
x = 9
Therefore, the solution to the equation x/3 = (2x + 3)/7 is x = 9.
Equations like this one are commonly used in many areas of mathematics, as well as in physics, engineering, economics, and other fields. It is important to be able to solve equations quickly and accurately, as they are often used to model real-world situations.
there are many other types of equations that involve multiple variables, exponents, logarithms, and other mathematical operations. These equations can be more complex to solve, but they are also useful in many applications.
the ability to solve equations is a fundamental skill in mathematics and is essential for success in many fields. By understanding the basic principles of algebra and practicing solving equations, students can develop the skills needed to tackle more complex problems and achieve their academic and professional goals.