Equation: 4.09+4x=31.69
The correct answer and explanation is:
To solve the equation 4.09+4x=31.694.09 + 4x = 31.69, follow these steps:
- Isolate the variable term: Start by subtracting 4.09 from both sides of the equation to move the constant term to the other side. 4x=31.69−4.094x = 31.69 – 4.09 Simplifying the right-hand side: 4x=27.64x = 27.6
- Solve for xx: Now, divide both sides of the equation by 4 to isolate xx. x=27.64x = \frac{27.6}{4} Simplifying: x=6.9x = 6.9
Thus, the solution is x=6.9x = 6.9.
Explanation:
In this equation, you are trying to find the value of xx that satisfies the equation. To do this, you use basic algebraic techniques. First, subtract 4.09 from both sides to get rid of the constant on the left-hand side. This leaves you with just the term involving xx on the left, and the number on the right. Then, divide both sides by the coefficient of xx, which is 4, to solve for xx. This leaves you with x=6.9x = 6.9.
This process is typical for solving linear equations where the variable term is multiplied by a constant. The goal is always to isolate the variable and then solve for its value.