Question

Can someone please help mee. use transformations to solve the equation. 3 2/3x = 22

Answer 1

1. Note that

$3\dfrac{2}{3}=\dfrac{3\cdot 3+2}{3}=\dfrac{9+2}{3}=\dfrac{11}{3}.$

2. Then the equation $3\dfrac{2}{3}x=22$ can be rewritten

$\dfrac{11}{3}x=22.$

3. Solve it:

$x=22:\dfrac{11}{3},\\ \\x=22\cdot \dfrac{3}{11}=2\cdot 3=6.$

Answer: x=6