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Solve the following(1) 8(11 + 2r) = 12(4/3 r + 22/3)(2) -8(10 + 7k) + 8k = 9 + 4(6 - 12k)

1 Answer

7 votes

Answers:

(1) r = 0

(2) The equation has no solution

Explanations:

(1) Given the expression:


8(11+2r)=12((4)/(3)r+(22)/(3))

Removing the brackets, we have:


88+16r=(48)/(3)r+(264)/(3)

Multiply both sides by 3


\begin{gathered} 264-48r=48r+264 \\ \end{gathered}

Collect like terms


\begin{gathered} 48r+48r=264-264 \\ 48r=0 \end{gathered}

Divide both sides by 48


r=(0)/(48)=0

(2) Given the expression:


-8(10+7k)+8k=9+4(6-12k)

Remove brackets


-80-56k+8k=9+24-48k

Collect like terms


\begin{gathered} -56k+8k+48k=9+24+80 \\ \end{gathered}

Simplifying this, the variable k vanishes, leaving us with nothing to find. Therefore, the equation has no solution.

User Tim Boddy
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