Question

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

Answer 1

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.