To solve the equation 5/3 - 2x = 16, we need to isolate the variable x.
First, we can simplify the equation by subtracting 5/3 from both sides:
5/3 - 5/3 - 2x = 16 - 5/3.
This simplifies to: -2x = 16 - 5/3.
Next, we need to get rid of the coefficient -2 in front of the variable x. To do this, we can divide both sides of the equation by -2:
(-2x)/(-2) = (16 - 5/3) / (-2).
This simplifies to: x = (16 - 5/3) / (-2).
To further simplify the equation, we can find a common denominator for 16 and 5/3, which is 3. So, we multiply 16 by 3/3:
x = (48/3 - 5/3) / (-2).
This simplifies to: x = (43/3) / (-2).
To divide fractions, we can multiply the numerator by the reciprocal of the denominator. In this case, we need to multiply (43/3) by (-1/2):
x = (43/3) * (-1/2).
Multiplying across, the equation becomes:
x = -43/6.
Therefore, the solution to the equation 5/3 - 2x = 16 is x = -43/6.
What is the solution of the equation 5/3−2x=16 ?(1 point)
Responses
3
3
34
Start Fraction 3 over 4 End Fraction
−113
negative Start Fraction 11 over 3 End Fraction
−11/12
1 answer