Question

Розв'яжи рівняння: 1) 5.43x- 2,37x = 4,59: 2) 5,8x+1,6x-2,915,6; 3) 2,9(3,8-x)= 1,74; 4) (9-3x): 0,05=84

Answer 1

Ответ:

1)1,5

2)394

3)3,2

4)1,6

Answer 2

1. 5.43x - 2.37x = 4.59:

Combine like terms on the left side: (5.43 - 2.37)x = 4.59

Simplify: 3.06x = 4.59

Divide both sides by 3.06 to solve for x: x = 4.59 / 3.06 x ≈ 1.5

Therefore, the solution to the equation is x ≈ 1.5.

2. 5.8x + 1.6x - 2.9 = 15.6:

Combine like terms on the left side: (5.8 + 1.6)x - 2.9 = 15.6

Simplify: 7.4x - 2.9 = 15.6

Add 2.9 to both sides: 7.4x = 15.6 + 2.9 7.4x = 18.5

Divide both sides by 7.4 to solve for x: x = 18.5 / 7.4 x ≈ 2.5

Therefore, the solution to the equation is x ≈ 2.5.

3. 2.9(3.8 - x) = 1.74:

Distribute 2.9 to both terms inside the parentheses: 2.9 * 3.8 - 2.9 * x = 1.74

Simplify: 8.82 - 2.9x = 1.74

Subtract 8.82 from both sides: -2.9x = 1.74 - 8.82 -2.9x = -7.08

Divide both sides by -2.9 to solve for x: x = (-7.08) / (-2.9) x ≈ 2.44

Therefore, the solution to the equation is x ≈ 2.44.

4. (9 - 3x) / 0.05 = 84:

Multiply both sides by 0.05 to eliminate the denominator: 0.05 * (9 - 3x) / 0.05 = 84 * 0.05

Simplify: 9 - 3x = 4.2

Subtract 9 from both sides: -3x = 4.2 - 9 -3x = -4.8

Divide both sides by -3 to solve for x: x = (-4.8) / (-3) x ≈ 1.6

Therefore, the solution to the equation is x ≈ 1.6.