What is the solution of the equation 2/5x+4=1/5 ?(1 point)Responses
-38/25
-19/2
21/2
-2/9
To solve the equation (2/5)x + 4 = 1/5, we can start by subtracting 4 from both sides to isolate the term with x:
(2/5)x = 1/5 - 4
Simplifying the right side:
(2/5)x = 1/5 - 20/5
(2/5)x = -19/5
Next, to solve for x, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5)x = (5/2)(-19/5)
x = -19/2
Therefore, the solution to the equation is x = -19/2.
To find the solution of the equation 2/5x + 4 = 1/5, we need to isolate the variable "x" on one side of the equation. Here's how you can solve it step by step:
1. Start by subtracting 4 from both sides of the equation to get rid of the constant term on the left side:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2. Simplify the right side of the equation:
2/5x = -19/5
3. To get rid of the fraction coefficient (2/5) on "x", we can multiply both sides by its reciprocal (5/2):
(5/2)(2/5x) = -19/5 * (5/2)
1x = -19/10
4. Simplify the right side of the equation:
x = -19/10
So, the solution to the given equation is x = -19/10.
To find the solution of the equation 2/5x + 4 = 1/5, follow these steps:
Step 1: Subtract 4 from both sides of the equation:
(2/5)x + 4 - 4 = 1/5 - 4
(2/5)x = 1/5 - 20/5
(2/5)x = -19/5
Step 2: Divide both sides of the equation by 2/5 to isolate x:
(2/5)x / (2/5) = (-19/5) / (2/5)
x = -19/5 * 5/2
x = -19/2
Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.