What is the solution of the equation 5/3−2x=1/6 ?(1 point)
Responses
3/4
Start Fraction 3 over 4 End Fraction
−11/12
negative Start Fraction 11 over 12 End Fraction
−11/3
negative Start Fraction 11 over 3 End Fraction
3
To solve the equation 5/3 - 2x = 1/6, we can first simplify the equation by finding a common denominator:
The common denominator for 3 and 6 is 6. So, we can multiply the entire equation by 6 to clear the fractions:
6*(5/3) - 6*(2x) = 6*(1/6)
30/3 - 12x = 1/1
Simplifying further:
10 - 12x = 1
Next, we can isolate the variable by subtracting 10 from both sides:
10 - 12x - 10 = 1 - 10
-12x = -9
Finally, we can solve for x by dividing both sides by -12:
x = -9 / -12
Simplifying the fraction:
x = 3/4
Therefore, the solution to the equation is x = 3/4.