solve using inverse operations - 3/5x = 2/5 choose from answers below
2/3
-2/3
-6/25
-1/5
To solve the equation 3/5x = 2/5, we need to isolate the variable "x."
First, we'll multiply both sides of the equation by the reciprocal of 3/5, which is 5/3.
(5/3)(3/5x) = (5/3)(2/5)
(x) = (2/3)(5/5)
x = 10/15
Simplifying the fraction 10/15, we get:
x = 2/3
Therefore, the correct answer is 2/3.
To solve the equation - (3/5)x = 2/5 using inverse operations, we need to isolate x.
First, we can begin by multiplying both sides of the equation by the reciprocal of -(3/5), which is -5/3. This will cancel out the coefficient on x.
Therefore, multiplying both sides by -5/3:
- (3/5)x * (-5/3) = (2/5) * (-5/3)
Simplifying the left side:
(-3/5) * (-5/3) * x = 2/5 * (-5/3)
The -5/3 and 5/3 cancel out on each side, leaving us with:
-3x = -2/3
To solve for x, we need to divide both sides of the equation by -3:
(-3x) / -3 = (-2/3) / -3
Simplifying the left side:
x = (-2/3) / -3
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
x = (-2/3) * (-1/3)
Multiplying numerators and denominators:
x = 2/9
Therefore, the solution to the equation - (3/5)x = 2/5 is x = 2/9.
So, the answer from the options provided is not one of the given choices.
To solve the equation using inverse operations, we need to isolate the variable x.
Step 1: Multiply both sides of the equation by the reciprocal of the coefficient of x, which is 5/3, to cancel out the coefficient on the left side:
(5/3) * (-3/5x) = (5/3) * (2/5)
This simplifies to:
(-15/15)x = 10/15
Step 2: Simplify the equation:
-1x = 2/3
Step 3: Since -1x is equivalent to -x, we can rewrite the equation as:
-x = 2/3
Step 4: Multiply both sides by -1 to solve for x:
(-1)(-x) = (-1)(2/3)
This gives us:
x = -2/3
Therefore, the correct answer is -2/3.