X-2/3=5
To solve for X, we need to get X by itself on one side of the equation. We can do this by following the order of operations.
1. Start by adding 2/3 to both sides of the equation:
X - 2/3 + 2/3 = 5 + 2/3
2. Simplify the left side by canceling out the 2/3:
X = 5 + 2/3
3. Convert the mixed number 5 2/3 to an improper fraction:
X = 17/3
So the solution to the equation X - 2/3 = 5 is X = 17/3.
however the student may not have known about parentheses. If so:
(x-2) / 3 = 5
x - 2 = 15
x = 17
impossible to know really
You are correct, if the student did not know about parentheses and intended the equation to be read as (x-2)/3=5, then your solution of x=17 is also possible. It's important to use parentheses to avoid any confusion or ambiguity in mathematical expressions.
To solve for X in the equation X - 2/3 = 5, follow these steps:
Step 1: To get rid of the fraction, multiply both sides of the equation by 3 to eliminate the denominator:
X * 3 - (2/3) * 3 = 5 * 3
3X - 2 = 15
Step 2: Simplify the equation by adding 2 to both sides to isolate the variable:
3X - 2 + 2 = 15 + 2
3X = 17
Step 3: Divide both sides of the equation by 3 to solve for X:
(3X) / 3 = 17 / 3
X = 17/3
Therefore, the solution to the equation X - 2/3 = 5 is X = 17/3 or X = 5.67 (rounded to two decimal places).