Question

5z=-3(z+7)

Answer 1

\(5z=(-3 \times z)+(-3 \times 7)\)................using distributive property
\(5z=-3z-21\)
\(5z+3z=-3z+3z-21\).........................(By Transposition)
\(8z=-21\)
now divide 8 both sides as
\(\Large{\frac{8z}{z}=\frac{-21}{8}}\)

Answer 2

gt it @toddloeffler ??

Answer 3

how would I check it?

Answer 4

putting the value of z in the equation .

Answer 5

thank you!

Answer 6

I am not getting equal values when checking- please show work on how to check.

Answer 7

are we still connected?

Answer 8

Hi, I think @jiteshmeghwal9 made a small typo, you get,\[\frac{8z}{8}=\frac{-21}{8}\]which yields,\[z=-\frac{-21}{8}\]If you were to replace this in the first equation,\[5\frac{-21}{8}=-3(\frac{-21}{8}+7)\]Multiply by 8, and finish the operations inside the brackets.\[5*(-21)=-24\frac{35}{8}\]Simplify 8 with 24 to get 3, and you have\[5*(-21)=-3*(35)\]which yields\[5=5\]

Answer 9

@gezimbasha :)