Question

Part A: Solve −np − 70 < 40 for n. Show your work. (4 points) Part B: Solve 4w − 7k = 28 for k. Show your work. (6 points

Answer 1

For part A, lets write the problem

$-np - 70\ \textless \ 40$
 
add $70$ to both sides

$-np - 70 + 70 \ \textless \ 40 + 70 -np \ \textless \ 110$

we are going to reverse the inequality, to do this we are going to multiply both sides by $-1$

$(-np ) ( -1 ) \ \textgreater \ 110 ( -1 )$

$pn \ \textgreater \ -110$

divide both sides by $p$

$\frac{pn}{p} \ \textgreater \ \frac{-110}{p}$

our answer would be 

$n \ \textgreater \ \frac{-110}{p}$

lets go with part b, lets write the problem

$4w - 7k = 28$

subtract $4w$ from both sides

$4w - 7k - 4w = 28 - 4w$

$-7k = 28 - 4w$

divide both sides by $-7$

$\frac{-7k}{-7} = \frac{28}{-7} - \frac{4w}{-7}$

I few simplified it, we would be left with,

$k = -\frac{28 - 4w }{7}$

I hope this helped!!

- Kiana