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Determine the numbers of solutions that exist to the equation below 8 (j - 4) = 2(4j - 16)

User Alentejo
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1 Answer

3 votes

Step 1: Write out the equation


8(j-4)=2(4j-16)

Step 2: Divide both sides by 2


\begin{gathered} (8(j-4))/(2)=(2(4j-16))/(2) \\ \text{Therefore} \\ 4(j-4)=4j-16 \end{gathered}

Step 3: Expand the left side of the equation to get


\begin{gathered} 4j-16=4j-16 \\ \text{Thus} \\ 4j-4j=-16+16 \\ 0=0 \end{gathered}

0 = 0 is always true no matter the value of j.

Hence, the number of solutions is infinite

User Shehan Ekanayake
by
7.6k points

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