Question

Розв’яжіть рівняння: 1) 3х = 15; 2) 4х – 2 = 2х + 6; 3) 11 + 5х = 55 + 3х; 4) − 8х – 17 = 3х – 105; 5) 2(2 + у) = 19 – 3у; 6) −3(3b + 1) – 12 = 12; 7) −2(2 – 5х) = 2(х – 3) – 5; 8) – 4,92у – (0,08у + 5,12) = − 0,88 – у.

Answer 1

Пошаговое объяснение:

1) 3x=15

x= 5

2) 4x-2=2x+6

4x-2x= 6+2

2x=8

x=4

Answer 2

1. 3x = 15 Divide both sides by 3: x = 15 / 3 x = 5

2. 4x - 2 = 2x + 6 Subtract 2x from both sides: 2x - 2 = 6 Add 2 to both sides: 2x = 8 Divide both sides by 2: x = 8 / 2 x = 4

3. 11 + 5x = 55 + 3x Subtract 3x from both sides: 2x = 44 Divide both sides by 2: x = 44 / 2 x = 22

4. -8x - 17 = 3x - 105 Add 8x to both sides: -17 = 11x - 105 Add 105 to both sides: 88 = 11x Divide both sides by 11: x = 88 / 11 x = 8

5. 2(2 + у) = 19 - 3у Distribute the 2 on the left side: 4 + 2у = 19 - 3у Add 3у to both sides: 5у = 15 Divide both sides by 5: у = 15 / 5 у = 3

6. -3(3b + 1) - 12 = 12 Distribute the -3 on the left side: -9b - 3 - 12 = 12 Combine the constants on the left side: -9b - 15 = 12 Add 15 to both sides: -9b = 27 Divide both sides by -9: b = -3

7. -2(2 - 5х) = 2(х - 3) - 5 Distribute the -2 on the left side and the 2 on the right side: -4 + 10х = 2х - 6 - 5 Combine constants on the right side: -4 + 10х = 2х - 11 Subtract 2х from both sides: 8х - 4 = -11 Add 4 to both sides: 8х = -7 Divide both sides by 8: х = -7 / 8

8. -4.92у - (0.08у + 5.12) = -0.88 - у Distribute the negative sign on the left side: -4.92у - 0.08у - 5.12 = -0.88 - у Combine like terms on the left side: -5у - 5.12 = -0.88 - у Add 5у to both sides: -5.12 = 4.12у - 0.88 Add 0.88 to both sides: -4.24 = 4.12у Divide both sides by 4.12: у = -4.24 / 4.12 у ≈ -1.0307