Math

Question Find the value of xx that satisfies the equation 15x=1115x = -11. Express the answer as a simplified fraction, if applicable.

Studdy Solution

STEP 1

Assumptions
1. We are given a linear equation in the form of 15x=1115x = -11.
2. We need to solve for the variable xx.

STEP 2

To solve for xx, we need to isolate xx on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of xx, which is 15.
x=1115x = \frac{-11}{15}

STEP 3

Now we have the value of xx as a fraction. We need to check if the fraction can be reduced further.

STEP 4

Since 11 and 15 have no common factors other than 1, the fraction 1115\frac{-11}{15} is already in its simplest form.

STEP 5

Therefore, the solution to the equation 15x=1115x = -11 is:
x=1115x = \frac{-11}{15}

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