Question

5) 19t–3/8=5/7–42t 6) 6/11–31,28k=–2/3+8,72k 2) –4,5(3x+2)+1,6(5-4x)=3,1x+1,3 3)5/21(7-4x)-4/35(5x+7)=2/15-2/7 4)9/16(32+x)+7/12(36-x)=5/16x-7

Answer 1

Ответ:

Пошаговое объяснение:

6 не знаю

Answer 2

To solve these equations, you can follow a systematic approach to isolate the variable (usually "x" or "t") on one side of the equation. Here's how to solve each of these equations step by step:

1. 19t - 3/8 = 5/7 - 42t:

First, let's collect the "t" terms on one side and constants on the other side:

19t + 42t = 5/7 + 3/8

Now, combine the "t" terms:

61t = (40/56) + (21/56)

Simplify the constants on the right side:

61t = 61/56

Now, isolate "t" by dividing both sides by 61:

t = (61/56) / 61 t = 1/56

2. 6/11 - 31.28k = -2/3 + 8.72k:

First, let's collect the "k" terms on one side and constants on the other side:

31.28k + 8.72k = 6/11 + 2/3

Combine the "k" terms:

40k = (18/33) + (22/33)

Simplify the constants on the right side:

40k = 40/33

Now, isolate "k" by dividing both sides by 40:

k = (40/33) / 40 k = 1/33

3. -4.5(3x + 2) + 1.6(5 - 4x) = 3.1x + 1.3:

First, distribute the constants on both sides:

-13.5x - 9 + 8 - 6.4x = 3.1x + 1.3

Combine like terms:

-13.5x - 6.4x - 3.1x = 1.3 + 9 - 8

Now, simplify the equation:

-22x = 2.3

To solve for "x," divide both sides by -22:

x = 2.3 / -22 x ≈ -0.1045 (rounded to four decimal places)

4. 9/16(32 + x) + 7/12(36 - x) = 5/16x - 7:

First, distribute the constants on both sides:

(9/16)(32) + (9/16)x + (7/12)(36) - (7/12)x = (5/16)x - 7

Now, simplify the equation:

18 + (9/16)x + 21 - (7/12)x = (5/16)x - 7

Combine like terms:

(9/16 - 7/12 - 5/16)x = -7 - 18 - 21

To simplify the equation further, find a common denominator for the fractions:

(27/48 - 28/48 - 15/48)x = -46

Now, combine the fractions:

(-16/48)x = -46

Simplify the fraction:

(-1/3)x = -46

To solve for "x," multiply both sides by -3:

x = (-46) * (-3) x = 138

5. 5/21(7 - 4x) - 4/35(5x + 7) = 2/15 - 2/7:

First, distribute the constants on both sides:

(5/21)(7) - (20/21)x - (4/35)(5x) - (4/35)(7) = 2/15 - 2/7

Now, simplify the equation:

(35/21) - (20/21)x - (4/7)x - (4/5) = (14/105) - (30/105)

Combine like terms:

(35/21) - [(20/21) + (4/7)]x - (4/5) = (14/105) - (30/105)

Now, simplify further:

(35/21) - (40/21)x - (4/5) = (14/105) - (30/105)

To solve for "x," isolate the terms with "x" on one side:

(35/21) - (4/5) = (40/21)x - (30/105)

Combine like terms:

(35/21 - 4/5) = (40/21 - 30/105)x

Now, simplify the constants on the left side:

(35/21 - 16/21) = (40/21 - 30/105)x

Combine the fractions:

(19/21) = (1900/105 - 30/105)x

Now, simplify further:

(19/21) = (1870/105)x

To solve for "x," multiply both sides by (21/19):

x = [(19/21) * (105/1870)]

x = (19 * 15) / (21 * 187)

x = 285 / 3937