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

1 Answer

4 votes

Answer:

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.

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