Question

Determine whether the equation has one, zero, or infinitely solutions5(i + 2) = 8 ( i - 1 )

Answer 1

One solution.

Step-by-step explanation:

Given the expression:

`5\mleft(i+2\mright)=8(i-1​)`

First, open the brackets:

`5i+10=8i-8`

Next, collect like terms:

`\begin{gathered} 10+8=8i-5i \\ 18=3i \end{gathered}`

Finally, divide both sides by 3:

`\begin{gathered} (18)/(3)=(3i)/(3) \\ i=6 \end{gathered}`

The equation has only one solution.