Which value is a solution of the equation 5-4x = 3?

In order to find the value that is a solution to the equation 5-4x = 3, we need to solve for x. Let’s break down the steps to find the answer.

Solution:

We start by isolating the variable term, -4x, by subtracting 5 from both sides of the equation:

5 – 4x – 5 = 3 – 5

-4x = -2

To completely solve for x, we need to eliminate the coefficient of -4. This can be done by dividing both sides of the equation by -4:

x = -2 / -4

x = 0.5

Therefore, the value that is a solution to the equation 5-4x = 3 is 0.5.

FAQs about solving the equation 5-4x = 3:

1. How do you solve for x in an equation?

To solve for x, you want to isolate the variable term on one side of the equation by performing inverse operations (addition, subtraction, multiplication, division) until x is by itself.

2. How do you isolate the variable term in the equation 5-4x = 3?

In the equation 5-4x = 3, we isolate the variable term, -4x, by subtracting 5 from both sides of the equation.

3. What is the next step after isolating the variable term in the equation 5-4x = 3?

After isolating the variable term, divide both sides of the equation by the coefficient of x, which in this case is -4.

4. What is the importance of isolating the variable term in an equation?

Isolating the variable term allows us to determine the unique value(s) for the variable that satisfy the equation, also known as the solution(s).

5. Can there be more than one solution to an equation?

Yes, there can be more than one solution to an equation, depending on the complexity of the equation and the values it involves.

6. How do you check if a value is a solution to an equation?

To check if a value is a solution to an equation, substitute the value back into the equation and ensure that both sides of the equation are equal.

7. Can a negative value be a solution to an equation?

Yes, negative values can be solutions to equations, as the solution can be any value that satisfies the equation.

8. Can 0 be a solution to an equation?

Yes, 0 can be a solution to an equation if it satisfies the equation when substituted for the variable.

9. Are there any other ways to solve this equation?

Yes, there are multiple methods to solve equations, such as graphing, substitution, or using matrix algebra. However, the method used in this article is the algebraic method.

10. What happens if you make a mistake while solving an equation?

If a mistake is made while solving an equation, it can lead to an incorrect solution. It is always important to carefully double-check the steps and calculations to ensure accuracy.

11. Is it necessary to simplify the solution for x?

In most cases, it is preferred to simplify the solution for x to its simplest form. However, it depends on the context and requirements of the problem or equation.

12. Are there any other ways to represent the solution?

Yes, the solution can be represented in various forms, such as fraction, decimal, or even as an interval of values depending on the nature of the equation.

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