Question

Solve the equation. 2+(-3) + \frac{10+z}{-3}

Option 1: z = -16
Option 2: z = 5
Option 3: z = -6
Option 4: z = 10

Answer 1

When solving the equation, the operations yield z = -7, but this answer doesn't match the provided options. There may be either an error in the provided question or options.

Step-by-step explanation:

To solve the given equation 2 + (-3) + (10 + z) / -3, first simplify the terms within the parentheses and combine like terms. This results in -1 + (10 + z) / -3. Next, get rid of the fraction by multiplying both sides of the equation by -3, which would cancel out the denominator on the left side, leaving us with 3(-1) + 10 + z = 0.

After distributing the multiplication, we get -3 + 10 + z, which simplifies further to 7 + z. The final step is to isolate z by subtracting 7 from both sides of the equation, yielding z = -7. However, -7 is not one of the given options, meaning there might have been a mistake in the initial question or a typo in the options provided.