Question

1, 5 / (2 2/5 + 3/4 * y) = 3/7

Answer 1

Ответ: 2 2/5 + 3/4 * y=1,5*7/3=7/2=3,5⇒3*у/4=3,5-2 2/5=3,5-2,4=1,1⇒0,75*у=1,1⇒у=1,1/0,75=110/75=22/15=1 7/15.

Пошаговое объяснение:

Answer 2

To solve for the variable y in the equation:

$1 - \frac{5}{{2 \frac{2}{5} + \frac{3}{4}y}} = \frac{3}{7}$

Let's go step by step:

Step 1: Convert the mixed number to an improper fraction. $2 \frac{2}{5} = \frac{12}{5}$

Step 2: Substitute the fraction back into the equation. $1 - \frac{5}{{\frac{12}{5} + \frac{3}{4}y}} = \frac{3}{7}$

Step 3: Simplify the expression in the denominator. $1 - \frac{5}{{\frac{12}{5} + \frac{3}{4}y}} = \frac{3}{7}$ $1 - \frac{5}{{\frac{48}{20} + \frac{15}{20}y}} = \frac{3}{7}$ $1 - \frac{5}{{\frac{48 + 15y}{20}}} = \frac{3}{7}$ $1 - \frac{5 \cdot 20}{{48 + 15y}} = \frac{3}{7}$ $1 - \frac{100}{{48 + 15y}} = \frac{3}{7}$

Step 4: Get the fractions on one side of the equation and the constant terms on the other side. $\frac{48 + 15y}{48 + 15y} - \frac{100}{48 + 15y} = \frac{3}{7}$ $\frac{48 + 15y - 100}{48 + 15y} = \frac{3}{7}$ $\frac{15y - 52}{48 + 15y} = \frac{3}{7}$

Step 5: Cross-multiply to eliminate fractions. $7(15y - 52) = 3(48 + 15y)$ $105y - 364 = 144 + 45y$

Step 6: Move terms involving y to one side and constants to the other side. $105y - 45y = 144 + 364$ $60y = 508$

Step 7: Solve for y. $y = \frac{508}{60}$ $y = \frac{254}{30}$ $y = \frac{127}{15}$

So, the solution for the equation is $y = \frac{127}{15}$.