-1/3 + 2z= -5/6
My Answer: z= -1/4
Spot on :)
To solve the equation -1/3 + 2z = -5/6, we can follow these steps:
Step 1: Subtract -1/3 from both sides of the equation to isolate the term with z:
-1/3 + 2z - (-1/3) = -5/6 - (-1/3)
This simplifies to:
2z = -5/6 + 1/3
Step 2: Find a common denominator for the fractions on the right side of the equation, which is 6:
2z = -5/6 + 2/6
Step 3: Combine the fractions:
2z = -5/6 + 2/6
2z = -3/6
Step 4: Simplify the fraction on the right side of the equation:
2z = -1/2
Step 5: Divide both sides of the equation by 2 to solve for z:
(2z) / 2 = (-1/2) / 2
This simplifies to:
z = -1/4
Therefore, the solution to the equation -1/3 + 2z = -5/6 is z = -1/4.
To solve the equation -1/3 + 2z = -5/6 for z, we need to isolate the variable z. Here's how you can do it step by step:
Step 1: Add 1/3 to both sides of the equation to eliminate the fractional coefficient of z:
-1/3 + 2z + 1/3 = -5/6 + 1/3
2z = -5/6 + 1/3
Step 2: Find a common denominator to add the fractions on the right side. In this case, the common denominator is 6:
2z = (-5/6)*2/2 + (1/3)*2/2
2z = -10/12 + 2/6
Step 3: Simplify the right side fractions:
2z = -10/12 + 4/12
2z = -6/12
Step 4: Reduce the right side fraction:
2z = -1/2
Step 5: Divide both sides of the equation by 2 to solve for z:
(2z)/2 = (-1/2)/2
z = -1/4
So the solution to the equation -1/3 + 2z = -5/6 is z = -1/4.