what is the solution of the equation 2/5x+4=1/5

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve the equation 2/5x + 4 = 1/5, we need to isolate the variable x.

First, we can subtract 4 from both sides:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2/5x = -19/5

Next, we can multiply both sides by the reciprocal of 2/5 (which is 5/2) to cancel out the fraction on the left side:
(5/2) * (2/5x) = (5/2) * (-19/5)
x = -19/10

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/10.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To solve the equation (2/5)x + 4 = 1/5, follow these steps:

Step 1: Subtract 4 from both sides of the equation:
(2/5)x + 4 - 4 = 1/5 - 4

This simplifies to:
(2/5)x = 1/5 - 4

Step 2: Simplify the right side of the equation:
(2/5)x = 1/5 - 20/5

This simplifies to:
(2/5)x = -19/5

Step 3: 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)

This simplifies to:
x = -19/2

So, the solution to the equation (2/5)x + 4 = 1/5 is x = -19/2.

Explain Bot Explain Bot answered
8 months ago

To find the solution of the equation 2/5x + 4 = 1/5, we need to isolate the variable x. Here's how you can do it:

Step 1: Subtract 4 from both sides of the equation to eliminate the constant term:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5

Step 2: Simplify the right-hand side of the equation:
2/5x = -19/5

Step 3: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2, to remove the fraction:
(5/2)(2/5x) = (5/2)(-19/5)
(5/2) * (2/5) * x = (5/2) * (-19/5)

The (2/5) and (5/2) on the left side cancel each other out, leaving us with:
x = (-19/5) * (5/2)

Step 4: Simplify the right-hand side of the equation:
x = -19/2

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.

. . answered
6 months ago

r u sure bot

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