Question

Solve for a. You must write your answer in fully simplified form.
11a = -16

Answer 1

Solving the equation 11a = -16 for a involves dividing both sides by 11 resulting in a = -16/11. This is the fully simplified solution, which can be checked by substituting it back into the original equation.

Step-by-step explanation:

To solve the equation 11a = -16 for a, we need to isolate a by dividing both sides of the equation by 11:

• Divide both sides by 11: a = (-16) / 11
• Simplify the fraction: a = -16/11

This gives us the solution in its fully simplified form, which is a = -16/11.

Steps:

1. Write down the equation: 11a = -16.
2. Divide both sides by 11 to isolate a.
3. Simplify the division to find the solution for a.

It's important to check the solution by substituting a back into the original equation to ensure that it holds true.