Answer:
The solution to the equation is [tex]x=\frac{53}{8}[/tex].
Step-by-step explanation:
We have the equation [tex]\frac{5}{8} = \frac{x-1}{9}[/tex]. In order to solve it we can make cross multiplication:
[tex]9\cdot 5 = 8(x-1)[/tex]
which is equivalent to
[tex]45=8x-8[/tex].
Now we isolate the unknown x in the right hand side of the equation:
[tex]45+8=8x[/tex].
Thus, [tex]53=8x[/tex], Dividing both sides of the equation by 8 we get the final solution:
[tex]x=\frac{53}{8}[/tex].
We can check our solution substituting the value of x in the original equation:
[tex]\frac{\frac{53}{8}-1}{9} = \frac{\frac{53}{8} - \frac{8}{8}}{9} = \frac{\frac{45}{8}}{9} = \frac{45}{8\cdot 9} = \frac{5}{8}[/tex].
Hence, we have the correct solution.
