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
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.
To solve the equation 5/3 - 2x = 16, we can follow these steps:
Step 1: Subtract 5/3 from both sides of the equation to isolate the term -2x.
5/3 - 5/3 - 2x = 16 - 5/3
-2x = (48/3) - (5/3)
-2x = 43/3
Step 2: Divide both sides by -2 to solve for x.
(-2x)/-2 = (43/3)/-2
x = -43/6
Therefore, the solution to the equation 5/3 - 2x = 16 is x = -43/6.
To find the solution of the equation 5/3 - 2x = 16, you need to isolate the variable x.
Step 1: Move the constant term to the other side of the equation.
Subtract 5/3 from both sides of the equation:
5/3 - 5/3 - 2x = 16 - 5/3
0 - 2x = (48/3) - (5/3)
-2x = 43/3
Step 2: Solve for x by isolating the variable.
To isolate x, divide both sides of the equation by -2:
(-2x) / -2 = (43/3) / -2
x = -43/6
Therefore, the solution to the equation 5/3 - 2x = 16 is x = -43/6 or -7 1/6.