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:

$8(11+2r)=12(\frac{4}{3}r+\frac{22}{3})$

Removing the brackets, we have:

$88+16r=\frac{48}{3}r+\frac{264}{3}$

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

$r=\frac{0}{48}=0$

(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.