Question

15х – 3 = 10х + 122. –2х – 25 = –5х – 73. 4(5 – 2у) = 2(1 – у)4. 3у + 16 = 8у – 95. 4х + (11,8 – х) = 3,8 – 5х6. 3у + 2(2у – 3) = 8 – 7(у – 2)7. 2 – 5х = х + 148. 5(у – 7) = 3(у – 4) – 29 9. 11 – 5у = 12 – 6у

Answer 1

15х-3=10х+12
15х-10х=12+3
5х=15
х=15:5
х=3

-2х-25=-5х-7
-2х+5х=-7+25
3х=18
х=18:3
х=6

4(5-2у)=2(1-у)
20-8у=2-2у
-8у+2у=2-20
-6у=-18
у=-18 : (-6)
у=3

3у+16=8у-9
3у-8у=-9-16
-5у=-25
у=-25 :(-5)
у=5

4х+(11,8-х)=3,8-5х
4х+11,8-х=3,8-5х
4х-х+5х=3,8-11,8
8х=-8
х=-8 :8
х=-1

3у+2(2у-3)=8-7(у-2)
3у+4у-6=8-7у+14
3у+4у+7у=8+14+6
14у=28
у=28:14
у=2

2-5х=х+14
-5х-х=14-2
-6х=12
х=12:(-6)
х=-2

5(у-7)=3(у-4)-29
5у-35=3у-12-29
5у-3у=-12-29+35
2у=-6
у=-6 :2
у=-3

11-5у=12-6у
-5у+6у=12-11
у=1

Answer 2

Давай посмотрим, что у нас тут за уравнения:

1. \(15x - 3 = 10x + 122\) 2. \(-2x - 25 = -5x - 73\) 3. \(4(5 - 2y) = 2(1 - y)4\) 4. \(3y + 16 = 8y - 95\) 5. \(4x + (11.8 - x) = 3.8 - 5x\) 6. \(3y + 2(2y - 3) = 8 - 7(y - 2)\) 7. \(2 - 5x = x + 148\) 8. \(5(y - 7) = 3(y - 4) - 29\) 9. \(11 - 5y = 12 - 6y\)

Давай поочередно решать:

1. \(15x - 10x = 122 + 3\) \[5x = 125\] \[x = 25\]

2. \(-2x + 5x = -73 + 25\) \[3x = -48\] \[x = -16\]

3. \(4(5 - 2y) = 2(1 - y)4\) \(20 - 8y = 8 - 4y\) \(-4y = -12\) \[y = 3\]

4. \(3y + 16 = 8y - 95\) \(-5y = -111\) \[y = 22.2\]

5. \(4x + (11.8 - x) = 3.8 - 5x\) \(4x + 11.8 - x = 3.8 - 5x\) \(5x + x = 11.8 + 3.8\) \[6x = 15.6\] \[x = 2.6\]

6. \(3y + 2(2y - 3) = 8 - 7(y - 2)\) \(3y + 4y - 6 = 8 - 7y + 14\) \(7y - 3y = 22\) \[y = 3.1\]

7. \(2 - 5x = x + 148\) \(2 - 148 = x + 5x\) \(-146 = 6x\) \[x = -24.3\]

8. \(5(y - 7) = 3(y - 4) - 29\) \(5y - 35 = 3y - 12 - 29\) \(5y - 3y = -12 + 29 - 35\) \[2y = -18\] \[y = -9\]

9. \(11 - 5y = 12 - 6y\) \(-5y + 6y = 12 - 11\) \[y = 1\]

Так что решения у нас следующие: \[x = 25, \quad y = 3, \quad x = 2.6, \quad y = 3.1, \quad x = -24.3, \quad y = -9, \quad y = 1\]