What is the value of x in the equation?
In mathematics, the value of x in an equation is the number that, when substituted for x, makes the equation true. In other words, the value of x is the solution to the equation.
To find the value of x, we must manipulate the equation so that x is isolated on one side of the equal sign. We can do this by performing the same operations on both sides of the equation.
For example, let’s consider the equation x + 2 = 5.
To isolate x, we subtract 2 from both sides of the equation.
x + 2 - 2 = 5 - 2 x = 3 Therefore, the value of x in the equation x + 2 = 5 is 3.
Here are some other examples of how to find the value of x:
- Multiplying or dividing both sides of the equation by a constant:
2x = 10 (2/2) * 2x = (2/2) * 10 x = 5 - Adding or subtracting a constant to both sides of the equation:
x - 5 = 2 x - 5 + 5 = 2 + 5 x = 7 - Multiplying or dividing both sides of the equation by a variable:
3x = 2y (3/3) * 3x = (3/3) * 2y x = (2/3) * y Sometimes, an equation may have more than one solution. For example, the equation x^2 = 4 has two solutions, x = 2 and x = -2.
In other cases, an equation may have no solution. For example, the equation x^2 = -4 has no real solutions.
Here are some questions related to the value of x in an equation:
- What is the value of x in the equation 2x + 3 = 7?
- What is the value of x in the equation x^2 – 1 = 0?
- What is the value of x in the equation 3x – 2y = 6?
To answer these questions, we can use the same methods described above. For example, to solve the equation 2x + 3 = 7, we can subtract 3 from both sides of the equation and then divide both sides by 2 to get x = 2.
By understanding how to find the value of x in an equation, we can solve a wide variety of mathematical problems.
