Answer:
[tex]x=\frac{1}{5}[/tex]
Step-by-step explanation:
Step 1 :-
given [tex]y= \frac{-7}{5 x} -3[/tex]
substitute given y=-10
[tex]-10+3 = \frac{7}{5 x}[/tex]
[tex]-7 = \frac{-7}{5 x}[/tex]
cancelled (-7) on both sides, we get
[tex]1= \frac{1}{5 x}[/tex]
cross multiplication, we get
[tex]5 x =1[/tex]
[tex]x=\frac{1}{5}[/tex]
Final answer:- [tex]x=\frac{1}{5}[/tex]
verification:-
given [tex]y= \frac{-7}{5 x} -3[/tex]
substitute [tex]x=\frac{1}{5}[/tex]
we get y= -10