Question

ВАРИАНТ 31 1. -4х – 11 = -5х – 122. 5(2x – 1) + х = 63. 3x + 11 = 5х + 7(3х – 5)4. 3х – 4(5х + 2) = 3(7x – 2)5. 17 – 2(3х – 5) — 5(4х – 1) =6x6. –11х + 3(х – 3) = – 8x – 9​

Answer 1

5. Ответ: х- любое число

Answer 2

To solve each equation, follow these steps:

1. -4x - 11 = -5x - 12 Add 5x to both sides to move all x terms to one side: -4x + 5x - 11 = -12 Simplify: x - 11 = -12 Add 11 to both sides to isolate x: x = -12 + 11 x = -1

2. 5(2x - 1) + x = 6 Distribute the 5 on the left side: 10x - 5 + x = 6 Combine like terms: 11x - 5 = 6 Add 5 to both sides: 11x = 11 Divide by 11 to solve for x: x = 1

3. 3x + 11 = 5x + 7(3x - 5) Distribute 7 on the right side: 3x + 11 = 5x + 21x - 35 Combine like terms: 3x + 11 = 26x - 35 Add 35 to both sides: 3x + 46 = 26x Subtract 3x from both sides to isolate x terms: 46 = 23x Divide by 23 to solve for x: x = 46 / 23 x = 2

4. 3x - 4(5x + 2) = 3(7x - 2) Distribute -4 and 3 on the left and right sides, respectively: 3x - 20x - 8 = 21x - 6 Combine like terms: -17x - 8 = 21x - 6 Add 21x to both sides: -17x + 21x - 8 = -6 Simplify: 4x - 8 = -6 Add 8 to both sides: 4x = 2 Divide by 4 to solve for x: x = 2 / 4 x = 0.5

5. 17 - 2(3x - 5) - 5(4x - 1) = 6x Distribute the coefficients on the left side: 17 - 6x + 10 - 20x + 5 = 6x Combine like terms: 22 - 26x = 6x Add 26x to both sides: 22 = 32x Divide by 32 to solve for x: x = 22 / 32 x = 11 / 16

6. -11x + 3(x - 3) = -8x - 9 Distribute 3 on the left side: -11x + 3x - 9 = -8x - 9 Combine like terms: -8x - 9 = -8x - 9 Add 8x to both sides to move x terms to one side: -9 = -9

The last equation has no variable (x) term. Thus, it is an identity and holds true for any value of x. The solution for this equation is all real numbers.