Question

(2)/(3)x-3=(2)/(5) Do not use decimals in your answer.

Answer 1

To solve the equation (2)/(3)x-3=(2)/(5), add 3 to both sides to get rid of the constant term, and simplify the right side to combine fractions. The solution for x is 17.

Step-by-step explanation:

The equation (2)/(3)x-3=(2)/(5) is a linear equation in one variable. To solve for x, we need to isolate the variable on one side of the equation. Here's how:

1. Add 3 to both sides of the equation to get rid of the constant term on the left side. This gives us (2)/(3)x = (2)/(5) + 3.
2. To simplify the right side, we convert (2)/(5) to an equivalent fraction with a common denominator as (2)/(3). This becomes (2)/(5) = (6)/(15).
3. Now, add the fractions on the right side: (6)/(15) + 3 = (6)/(15) + (45)/(15) = (51)/(15).
4. To write the right side as a fraction, we can simplify it by dividing both the numerator and denominator by their greatest common divisor, which is 3. This gives us x = (51)/(3) = 17.

Therefore, the solution to the equation is x = 17.

Learn more about Solving linear equations