ANSWERS
(a) A = -36
(b) B = -100
(c) 64
EXPLANATION
(a) To solve the first equation we have to multiply both sides by 3,
[tex]\begin{gathered} \frac{2}{3}\cdot3\cdot A=-24\cdot3 \\ 2A=-72 \end{gathered}[/tex]
And divide both sides by 2,
[tex]\begin{gathered} \frac{2A}{2}=\frac{-72}{2} \\ A=-36 \end{gathered}[/tex]
(b) For the second equation, we have to multiply both sides by -0.2,
[tex]\begin{gathered} 20\cdot(-0.2)=-\frac{B}{0.2}(-0.2) \\ -100=B \end{gathered}[/tex]
(c) The distance between two points on a number line is the difference between the two values, in absolute value,
[tex]d=|A-B|=|-36-(-100)|=|-36+100|=64[/tex]
So the distance between A and B is 64.
