Question

5/12 - 9/7x = 10 5/12 - 3x​

Answer 1

Сначала переведём смешанную дробь в неправильную
1) 10 5/12= 125/12
умножим по пропорциям
2) 35-108х=875-252х
переведём по знакам !при этом меняя знаки!
3) -108х+252х=875-35
вычисляем:
4) 144х=840
сокращаем
5) х= 35/6=5 5/6

Answer 2

To solve the equation 5/12 - 9/7x = 10 5/12 - 3x, you can follow these steps:

1. First, let's simplify the fractions on both sides of the equation. The least common denominator for 12 and 7 is 84. So, we'll convert the fractions to have a common denominator of 84:

On the left side of the equation: (5/12) * (7/7) = 35/84

On the right side of the equation: (10 5/12) * (7/7) = (125/12) * (7/7) = 875/84

So, the equation becomes: 35/84 - (9/7x) = 875/84 - 3x

2. Now, let's get rid of the fractions by multiplying both sides of the equation by 84 to clear the denominators:

84 * (35/84) - 84 * (9/7x) = 84 * (875/84) - 84 * (3x)

On the left side, the 84s cancel out: 35 - 12x = 875 - 252x

3. Next, let's isolate the variables on one side of the equation and the constants on the other side. To do this, add 12x to both sides of the equation and subtract 35 from both sides:

35 - 12x + 12x = 875 - 252x + 12x

On the left side, the 12x and -12x cancel out, leaving:

35 = 875 - 240x

4. Now, isolate x by subtracting 875 from both sides:

35 - 875 = -240x

-840 = -240x

5. Finally, divide both sides by -240 to solve for x:

(-840) / (-240) = x

x = 7/2

So, the solution to the equation is x = 7/2.