Question

Solve for x: 5 over 8 equals the quantity x minus 1 end quantity over 9

Answer 1

Answer:

  53/8

Step-by-step explanation:

$\dfrac{5}{8}=\dfrac{x-1}{9}\\\\45=8x-8 \qquad\text{multiply by 72}\\\\53=8x \qquad\text{add 8}\\\\\dfrac{53}{8}=x \qquad\text{divide by 8}$

Answer 2

Answer:

The solution to the equation is $x=\frac{53}{8}$.

Step-by-step explanation:

We have the equation $\frac{5}{8} = \frac{x-1}{9}$. In order to solve it we can make cross multiplication:

$9\cdot 5 = 8(x-1)$

which is equivalent to

$45=8x-8$.

Now we isolate the unknown x in the right hand side of the equation:

$45+8=8x$.

Thus, $53=8x$, Dividing both sides of the equation by 8 we get the final solution:

$x=\frac{53}{8}$.

We can check our solution substituting the value of x in the original equation:

$\frac{\frac{53}{8}-1}{9} = \frac{\frac{53}{8} - \frac{8}{8}}{9} = \frac{\frac{45}{8}}{9} = \frac{45}{8\cdot 9} = \frac{5}{8}$.

Hence, we have the correct solution.