Question

Help.................solve for z:11z=-110

Answer 1

Given the following equation:

`11z=-110`

Since we want to solve for 'z', we want to leave the variable z alone on one side of the equation. In this case, we can do this easily by dividing both sides of the equation by 11, since it is the coefficient of the term 11z. Then, we would have the following:

`\begin{gathered} (11z=-110)((1)/(11)) \\ \Rightarrow(11z)/(11)=(-110)/(11) \\ \Rightarrow z=(-110)/(11) \end{gathered}`

now, notice that on the right side we have a positive number dividing a negative number, then, by the laws of signs, the result will be a negative number. Thus, we have:

`\begin{gathered} z=(-110)/(11)=-10 \\ \Rightarrow z=-10 \end{gathered}`

therefore, the solution for z is -10