What is the solution of the equation 5/3−2x=1/6 ?(1 point)
3/4
−11/12
3
−11/3
To solve the equation 5/3 - 2x = 1/6, we can first simplify the equation by finding a common denominator for the fractions. The common denominator in this case is 6. Therefore, we multiply both sides of the equation by 6:
6*(5/3) - 6*(2x) = 6*(1/6)
(30/3) - 12x = 1
Simplifying further:
10 - 12x = 1
Next, we can isolate the variable by subtracting 10 from both sides of the equation:
-12x = 1 - 10
-12x = -9
To solve for x, divide both sides of the equation by -12:
x = -9 / -12
x = 3/4
Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4. So, the correct answer is 3/4.
To find the solution of the equation, we need to isolate the variable 'x' on one side of the equation.
Given equation: 5/3 - 2x = 1/6
First, let's get rid of the fraction on the left side of the equation by multiplying both sides by the common denominator, which is 6:
6 * (5/3 - 2x) = 6 * (1/6)
This simplifies to:
10 - 12x = 1
Next, let's isolate the term with 'x' by subtracting 10 from both sides of the equation:
10 - 12x - 10 = 1 - 10
This simplifies to:
-12x = -9
To solve for 'x', divide both sides of the equation by -12:
x = -9 / -12
Simplifying the right side gives:
x = 3/4
Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 3/4.
To find the solution of the equation 5/3 - 2x = 1/6, we can follow these steps:
Step 1: Begin by subtracting 5/3 from both sides of the equation:
5/3 - 5/3 - 2x = 1/6 - 5/3
Simplifying, we have:
-2x = -14/18
Step 2: Next, we can simplify the right side of the equation:
-2x = -7/9
Step 3: To isolate the variable x, divide both sides of the equation by -2:
(-2x)/-2 = (-7/9) / -2
Simplifying further, we get:
x = 7/18
Therefore, the solution to the equation 5/3 - 2x = 1/6 is x = 7/18.