Question

1)-4+3у=1-2у 2) 5-3b=b+8 3)7k-3=2k +7 4)5*(2 +a)-7=a+15

Answer 1

Ответ:

Пошаговое объяснение:

1)-4+3у=1-2у

3y + 2y = 1 + 4

5y=5

y=1

2) 5-3b=b+8

-3b-b = 8 -5

-4b=3

b=-3/4 = -0.75

3)7k-3=2k +7

7k - 2k = 7 +3

5k=10

k=5

4)5*(2 +a)-7=a+15

10+5a-7-a=15

4a=15-10+7

4a=12

a=3

Answer 2

Пошаговое объяснение:

1) -4+3у=1-2у

2y+3y=1+4

5y=5

y=5:5

y=1

2) 5-3b=b+8

-b-3b=-5+8

-4b=3

b=3:(-4)

b=-0,75

3) 7k-3=2k+7

7k-2k=3+7

5k=10

k=10:5

k=2

4) 5*(2 +a)-7=a+15

10+5a-7=a+15

-a+5a=-10+7+15

4a=12

a=12:4

a=3

Answer 3

To solve each of these equations, we need to isolate the variable (у, b, k, or a) on one side of the equation. Let's solve them step-by-step:

1. -4 + 3у = 1 - 2у

To solve for у: Add 2у to both sides: -4 + 3у + 2у = 1 - 2у + 2у Combine like terms: 5у - 4 = 1 Add 4 to both sides: 5у - 4 + 4 = 1 + 4 Combine like terms: 5у = 5 Divide by 5: у = 1

2. 5 - 3b = b + 8

To solve for b: Add 3b to both sides: 5 - 3b + 3b = b + 8 + 3b Combine like terms: 5 = 4b + 8 Subtract 8 from both sides: 5 - 8 = 4b + 8 - 8 Combine like terms: -3 = 4b Divide by 4: b = -3/4 or -0.75

3. 7k - 3 = 2k + 7

To solve for k: Subtract 2k from both sides: 7k - 3 - 2k = 2k + 7 - 2k Combine like terms: 5k - 3 = 7 Add 3 to both sides: 5k - 3 + 3 = 7 + 3 Combine like terms: 5k = 10 Divide by 5: k = 2

4. 5 * (2 + a) - 7 = a + 15

To solve for a: Perform operations inside the parentheses: 5 * 2 + 5 * a - 7 = a + 15 Combine like terms: 10 + 5a - 7 = a + 15 Combine further: 5a + 3 = a + 15 Subtract 'a' from both sides: 5a + 3 - a = a + 15 - a Combine like terms: 4a + 3 = 15 Subtract 3 from both sides: 4a + 3 - 3 = 15 - 3 Combine like terms: 4a = 12 Divide by 4: a = 3

So the solutions are:

1. у = 1
2. b = -0.75 or -3/4
3. k = 2
4. a = 3