To solve the equation 5/3 - 2x = 16, we need to isolate the variable x.
First, let's subtract 5/3 from both sides of the equation:
5/3 - 5/3 - 2x = 16 - 5/3
This simplifies to:
-2x = 16 - 5/3
To get rid of the fraction on the right side, we can write 16 as 16/1 and find a common denominator:
-2x = 16/1 - 5/3
The common denominator is 3, so we rewrite both fractions:
-2x = (16/1) - (5/3)
To add the fractions, we need to find a common denominator of 3. Multiply the first fraction by 3/3 and the second fraction by 1/1:
-2x = (16/1)*(3/3) - (5/3)*(1/1)
This simplifies to:
-2x = 48/3 - 5/3
Now, combine the numerators:
-2x = (48 - 5)/3
Simplify the numerator:
-2x = 43/3
Divide both sides of the equation by -2 to solve for x:
x = (43/3)/-2
When dividing by a fraction, we can flip the fraction and multiply:
x = (43/3)*(-1/2)
This gives:
x = -43/6
So 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
3/4
Start Fraction 3 over 4 End Fraction
−11/3
negative Start Fraction 11 over 3 End Fraction
−11/12
1 answer