Question

(7x − 2) / 111 = (8x + 5) / 37 ​

Answer 1

$\frac{7x - 2}{111} = \frac{8x + 5}{37} \\ \frac{7x - 2}{111} = \frac{3(8x + 5)}{111} \\ 7x - 2 = 24x + 15 \\ 7x - 24x = 15 + 2 \\ - 17x = 17 \\ x = - 1$

Ответ: -1

Answer 2

Ответ:

х = -1

Пошаговое объяснение:

(7x − 2) / 111 = (8x + 5) / 37

37(7х - 2) = 111(8х + 5)

259х - 74 = 888х + 555

259х - 888х = 555 + 74

-629х = 629

х = 629 : (-629)

х = -1

Проверим:

(7*(-1) − 2)) / 111 = (8*(-1) + 5)) / 37

(-7 - 2)/111 = (-8 + 5)/37

-9/111 = -3/37

-3/37 = -3/37

Answer 3

To solve for the value of x in the equation:

(7x - 2) / 111 = (8x + 5) / 37

You can start by cross-multiplying to eliminate the fractions:

(7x - 2) * 37 = (8x + 5) * 111

Now distribute and simplify:

259x - 74 = 888x + 555

Subtract 259x from both sides:

-74 = 629x + 555

Subtract 555 from both sides:

-629 = 629x

Now, divide by 629:

x = -1

So, the solution for the equation is x = -1.