Question

3 1/2-(3х+2/5)=х-37-х /5; 7/8-1/8(х-5 /4-14-2х /5)=х-9 /2-х-1 /4; 3х+2 /5-4х-3 /7=4+х-2 /35 помогите решить! плисс!!!!

Answer 1

7/2-3x-2/5=x-37-1/5x
31/10-3x=4/5x-37
31-30x=8x-370
-30x-8x=-370-31
-38x=-401
x=
$10 \times \frac{21}{38}$


7/8-1/8(x-61/4-2x/5)=-19/4
7/8-1x/8×61/32+x/20=-19/4
89/32-1/8x+x/20=-19/4
445-20x+8x=-760
445-12x=-760
-12x=-760-445
-12x=-1205
x=100 целых 5/12


3 не знаю

Answer 2

7/8-1/8(x-61/4-2x/5)=-19/4

7/8-1x/8×61/32+x/20=-19/4

89/32-1/8x+x/20=-19/4

445-20x+8x=-760

445-12x=-760

-12x=-760-445

-12x=-1205

x=100 целых 5/12

Answer 3

Sure, I'd be happy to help you solve these equations step by step. Let's tackle them one by one:

1. 3 1/2 - (3x + 2/5) = x - 37 - x/5

Step 1: Let's simplify the left-hand side first. 3 1/2 = 7/2 (since 3 * 2 = 6 + 1 = 7, and 7/2 is the same as 3 1/2)

So, the equation becomes: 7/2 - (3x + 2/5) = x - 37 - x/5

Step 2: Now, let's get rid of the parentheses on the left side. Distribute the negative sign: 7/2 - 3x - 2/5 = x - 37 - x/5

Step 3: Combine the x terms on the right side: 7/2 - 3x - 2/5 = (5x - x)/5 - 37

Step 4: Continue simplifying the right side: 7/2 - 3x - 2/5 = 4x/5 - 37

Step 5: To make the equation easier to work with, let's eliminate the fractions by multiplying everything by 10 (the least common multiple of 2 and 5).

10 * (7/2) - 10 * (3x) - 10 * (2/5) = 10 * (4x/5) - 10 * 37

Step 6: Now, solve for x:

35 - 30x - 4 = 8x - 370

Step 7: Combine like terms: -30x + 8x = 370 - 35 + 4

Step 8: Simplify: -22x = 339

Step 9: Finally, solve for x: x = 339 / (-22) x ≈ -15.4091 (rounded to four decimal places)

2. 7/8 - 1/8(x - 5/4 - 14 - 2x/5) = x - 9/2 - x - 1/4

Step 1: Let's simplify the expression inside the parentheses on the left side. x - 5/4 - 14 - 2x/5 = (5x - 25 - 56 - 2x) / 20 x - 5/4 - 14 - 2x/5 = (3x - 81) / 20

So, the equation becomes: 7/8 - 1/8((3x - 81) / 20) = x - 9/2 - x - 1/4

Step 2: Now, let's deal with the parentheses on the left side. Distribute the 1/8: 7/8 - (3x - 81)/160 = x - 9/2 - x - 1/4

Step 3: To eliminate the fraction, let's multiply everything by 160 (the least common multiple of 8 and 20).

160 * (7/8) - 160 * ((3x - 81)/160) = 160 * (x - 9/2) - 160 * (x - 1/4)

Step 4: Continue simplifying: 140 - 3x + 81 = 160x - 720 - 160x + 40

Step 5: Combine like terms: 221 - 3x = -680

Step 6: Finally, solve for x: -3x = -680 - 221 -3x = -901 x = -901 / (-3) x ≈ 300.3333 (rounded to four decimal places)

3. 3x + 2/5 - 4x - 3/7 = 4 + x - 2/35

Step 1: Combine like terms on the left side: (3x - 4x) + (2/5 - 3/7) = 4 + x - 2/35 -x + (14/35 - 15/35) = 4 + x - 2/35

Step 2: Simplify the fractions on the left side: -x - 1/35 = 4 + x - 2/35

Step 3: Now, let's eliminate the fractions by multiplying everything by 35 (the least common multiple of 1 and 35).

35 * (-x) - 35 * (1/35) = 35 * (4 + x) - 35 * (2/35)

Step 4: Continue simplifying: -35x - 1 = 140 + 35x - 2

Step 5: Combine like terms: -35x - 1 = 138 + 35x

Step 6: Now, isolate x on one side: -35x - 35x = 138 + 1

Step 7: Combine like terms: -70x = 139

Step 8: Finally, solve for x: x = 139 / (-70) x ≈ -1.9857 (rounded to four decimal places)

So, the solutions for the equations are approximately:

1. x ≈ -15.4091
2. x ≈ 300.3333
3. x ≈ -1.9857