Question

What number must multiply each side of the equation 25x=10 to produce the equivalent equation x = 25?

Answer 1

Answer:

Multiply both sides by $\frac{5}{2}$

Step-by-step explanation:

Given

$\frac{2}{5}x = 10$

Required

Get an equivalent of $x = 25$

To do this, we simply multiply through by $\frac{5}{2}$

$\frac{5}{2} * \frac{2}{5}x = 10 * \frac{5}{2}$

$\frac{5*2}{2*5} x = 10 * \frac{5}{2}$

$\frac{10}{10} x = 10 * \frac{5}{2}$

$\frac{1}{1} x = 10 * \frac{5}{2}$

$x = 10 * \frac{5}{2}$

$x =\frac{10*5}{2}$

$x =\frac{50}{2}$

$x = 25$