What’s the solution of the equation? 2/5x + 4 = 1/5?
A. -28/25
B. -2/19
C. -19/2
D. 21/2
To solve the equation, we can start by subtracting 4 from both sides of the equation:
2/5x + 4 - 4 = 1/5 - 4
This simplifies to:
2/5x = -19/5
To solve for x, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
x = -19/2
So the solution is C. -19/2.
To solve the equation 2/5x + 4 = 1/5, we need to isolate the variable x.
Step 1: Subtract 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 - 4
Step 2: Simplify the right side by finding a common denominator for 1/5 and 4:
1/5 = 4/20
Step 3: Substitute the simplified value into the equation:
2/5x = 4/20 - 4
Step 4: Subtract 4 from 4/20 to get the right side in a simplified form:
2/5x = -76/20
Step 5: Simplify the right side by dividing both the numerator and the denominator by their greatest common divisor (4):
2/5x = -19/5
Step 6: To get x, multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2)(2/5x) = (5/2)(-19/5)
x = -19/2
Thus, the solution of the equation 2/5x + 4 = 1/5 is x = -19/2, which corresponds to option C.
To find the solution to the equation 2/5x + 4 = 1/5, we need to isolate the variable x. Here's how you can do it step by step:
Step 1: Subtract 4 from both sides of the equation to isolate the term containing x:
2/5x + 4 - 4 = 1/5 - 4
2/5x = 1/5 - 20/5
Simplifying the right side gives us:
2/5x = -19/5
Step 2: Now, to get rid of the fraction, we can multiply both sides of the equation by the reciprocal of 2/5, which is 5/2:
(5/2) * (2/5x) = (5/2) * (-19/5)
Simplifying further:
1x = -19/2
So, the solution to the equation is x = -19/2, which is answer choice C.