Question

20 POINTS HELP :)))))))))))))))))))))))))))))))))

Answer 1

12.6j + 8 = 10.2j + 4.4

2.4j = -3.6

j = -1.5

Hope this helps! ;)

Answer 2

Answer:

$\large\boxed{j=-\dfrac{3}{2}\to j=-1\dfrac{1}{2}\to j=-1.5}$

Step-by-step explanation:

$12.6j+8=10.2j+4.4\qquad\text{subtract 8 from both sides}\\\\12.6j+8-8=10.2j+4.4-8\\\\12.6j=10.2j-3.6\qquad\text{subtract}\ 10.2j\ \text{from both sides}\\\\12.6j-10.2j=10.2j-10.2j-3.6\\\\2.4j=-3.6\qquad\text{divide both sides by 2.4}\\\\\dfrac{2.4j}{2.4}=\dfrac{-3.6}{2.4}\\\\j=-\dfrac{3.6\cdot10}{2.4\cdot10}\\\\j=-\dfrac{36}{24}\\\\j=-\dfrac{36:12}{24:12}\\\\j=-\dfrac{3}{2}\to j=-1\dfrac{1}{2}\to j=-1.5$