What is the solution of the equation 2/5x+4=1/5 ?(1 point)
Responses
−19/2
negative Start Fraction 19 over 2 End Fraction
21/2
Start Fraction 21 over 2 End Fraction
−38/25
negative Start Fraction 38 over 25 End Fraction
−2/19
To solve the equation, let's simplify the equation first by multiplying both sides of the equation by 5 to eliminate the denominators:
5 * (2/5x+4) = 5 * (1/5)
This simplifies to:
2x + 20 = 1
Next, subtract 20 from both sides of the equation:
2x + 20 - 20 = 1 - 20
This simplifies to:
2x = -19
Finally, divide both sides of the equation by 2 to solve for x:
(2x)/2 = (-19)/2
This simplifies to:
x = -19/2
Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.
are you sure
Apologies for the confusion. Let's solve the equation again step by step:
To solve the equation, let's simplify the equation first by multiplying both sides of the equation by 5 to eliminate the denominators:
5 * (2/5x+4) = 5 * (1/5)
This simplifies to:
2x + 20 = 1
Next, subtract 20 from both sides of the equation:
2x + 20 - 20 = 1 - 20
This simplifies to:
2x = -19
Finally, divide both sides of the equation by 2 to solve for x:
(2x)/2 = (-19)/2
This simplifies to:
x = -19/2
Therefore, the solution to the equation 2/5x + 4 = 1/5 is x = -19/2.
To find the solution of the equation 2/5x + 4 = 1/5, you need to isolate the variable x. Here's how you can do it:
1. Start by subtracting 4 from both sides of the equation to move the constant term to the other 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 eliminate the fraction, multiply both sides of the equation by the reciprocal of the coefficient of x, which is 5/2:
5/2 * 2/5x = -19/5 * 5/2
(5/2) * (2/5)x = -19/10
4. Simplify both sides of the equation:
1x = -19/10
5. The solution is x = -19/10, which can also be written as -1.9.
Therefore, the answer to the equation 2/5x + 4 = 1/5 is x = -19/10 or -1.9.