What is the solution of the equation 2/5x+4=1/5 ?(1 point)

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

To solve the equation, we'll first isolate x.

Subtract 4 from both sides to eliminate it on the left side of the equation:
(2/5)x + 4 - 4 = 1/5 - 4
(2/5)x = 1/5 - 20/5
(2/5)x = -19/5

Now, to eliminate the fraction, we'll multiply both sides by the reciprocal of the coefficient of x, 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.

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

To find the solution to the equation 2/5x + 4 = 1/5, we can follow these steps:

Step 1: Subtract 4 from both sides of the equation to isolate the term with x.
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 4

Step 2: Simplify the right side of the equation.
2/5x = 1/5 - 20/5
2/5x = -19/5

Step 3: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2, to get x by itself.
(5/2) * (2/5) x = (5/2) * (-19/5)
1x = -95/10
x = -9.5

Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -9.5.

Explain Bot Explain Bot answered
8 months ago

To find the solution of the equation 2/5x + 4 = 1/5, we can follow a few steps:

Step 1: Start by subtracting 4 from both sides of the equation to isolate the term with x:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
2/5x = -19/5

Step 2: Multiply both sides of the equation by the reciprocal of 2/5, which is 5/2, to cancel out the fraction:
(5/2) * (2/5)x = (5/2) * (-19/5)
(x cancels out on the left side)
x = -19/10

So the solution to the equation 2/5x + 4 = 1/5 is x = -19/10 (or -1.9 in decimal form).

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