Question

(3/5+3/4х)×20=42х=решениеответ​

Answer 1

Ответ: x=2

Пошаговое объяснение:

3/5+3/4х=42/20

3/4х=42/20-3/5

3/4х=42/20-12/20

3/4х=30/20

х=30/20 : 3/4

х =30/20 * 4/3

х =10/5 * 1/1

х = 10 : 5

х = 2

Answer 2

To solve the equation (3/5 + 3/4x) × 20 = 42x, we can follow these steps:

1. Distribute the 20 to the terms inside the parentheses: (3/5) × 20 + (3/4)x × 20 = 42x

2. Simplify the fractions: (12/5) × 20 + (3/4)x × 20 = 42x

3. Multiply the fractions and simplify: (12/5) × 20 + (60/4)x = 42x (240/5) + (60/4)x = 42x 48 + (60/4)x = 42x

4. Move all the terms containing x to one side of the equation: (60/4)x - 42x = -48

   To do this, we need to find a common denominator for (60/4)x and 42x, which is 4. So, we can rewrite the equation as: (15x/1) - (168x/4) = -48

   Simplifying the fractions: (15x - 42x/4) = -48 (-27x/4) = -48

5. Multiply both sides of the equation by 4 to eliminate the fraction: 4 × (-27x/4) = 4 × (-48)

   The 4s on the left side cancel out, leaving us with: -27x = -192

6. Divide both sides of the equation by -27 to solve for x: (-27x)/(-27) = (-192)/(-27) x = 192/27

   The final solution is: x = 7.111...

So, x is approximately equal to 7.111.