a)
[tex] \frac{7}{9} \times x = \frac{35}{37} \\ \frac{7x}{9} = \frac{35}{37} \\ 7x \times 37 = 9 \times 35 \\ 259x = 315 \\ x = \frac{315}{259} = \frac{45}{37} [/tex]
b)
[tex]( - 2 \frac{1}{2} ) \times x = \frac{45}{16} \\ - 1 \times x = \frac{45}{16} \\ - x = \frac{45}{16} \\ x = - \frac{45}{16} [/tex]
c)
[tex]x \times ( - 2 \frac{2}{3} ) = - \frac{40}{21} \\ - \frac{8x}{3} = - \frac{40}{21} \\ 8x \times 21 = 40 \times 3 \\ 168x = 120 \\ x = \frac{120}{168} = \frac{5}{7} [/tex]
d)
[tex]x \times ( - \frac{13}{24} ) = - 2 \frac{8}{9} \\ - \frac{13x}{24} = - \frac{26}{9} = \\ 13x \times 9 = 26 \times 24 \\ 117x = 624 \\ x = \frac{624}{117} = \frac{16}{3} [/tex]
e)
[tex]7 \frac{1}{3} \times x = - \frac{11}{24} \\ \frac{22x}{3} = - \frac{11}{24} \\ 22x \times ( - 24) = 3 \times( - 11) \\ - 528x = - 33 \\ x = \frac{33}{528} = \frac{1}{16} [/tex]
f)
[tex]x \times ( - \frac{15}{42} ) = \frac{40}{7} \\ - \frac{5x}{14} = \frac{40}{7} \\ - 5x \times 7 = - 14 \times 40 \\ - 35x = - 560 \\ x = \frac{560}{35} = 16[/tex]
