What is the solution of the equation 2/5x+4=1/5 ?(1 point)
Responses
−2/19
negative Start Fraction 2 over 19 End Fraction
−38/25
negative Start Fraction 38 over 25 End Fraction
21/2
Start Fraction 21 over 2 End Fraction
−19/2
To solve this equation, we need to isolate the variable x.
First, let's subtract 4 from both sides of the equation:
2/5x + 4 - 4 = 1/5 - 4
2/5x = -19/5
Next, we'll multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
1x = -19/2
The solution of the equation is x = -19/2. Therefore, the answer is −19/2.