Question

1. 3x-1=x+5 2. -6a+11=-2a-17 3. 6m+5=4m+9 4. -13y-1=11-12y 5. 6m+13=4m-17

Answer 1

Відповідь:

1.3x-1=x+5

3х-х=5+1

2х=6

х=3

2. -6a+11=-2a-17

-4а=-28

а=7

3.6m+5=4m+9

6м-4м=9-5

2м=4

м=2

-13y-1=11-12y

-13у +12у=11+1

-у=12

5.6m+13=4m-17

6m-4m=-17-13

2m=-30

m=-15

Покрокове пояснення:

Answer 2

It looks like you've provided a list of linear equations. Do you need help solving these equations for the variables they contain? If so, I'd be happy to assist! Let's solve each equation step by step:

1. 3x - 1 = x + 5 Subtract x from both sides: 3x - x - 1 = x - x + 5 2x - 1 = 5 Add 1 to both sides: 2x - 1 + 1 = 5 + 1 2x = 6 Divide both sides by 2: 2x / 2 = 6 / 2 x = 3

2. -6a + 11 = -2a - 17 Add 2a to both sides: -6a + 2a + 11 = -2a + 2a - 17 -4a + 11 = -17 Subtract 11 from both sides: -4a + 11 - 11 = -17 - 11 -4a = -28 Divide both sides by -4: -4a / -4 = -28 / -4 a = 7

3. 6m + 5 = 4m + 9 Subtract 4m from both sides: 6m - 4m + 5 = 4m - 4m + 9 2m + 5 = 9 Subtract 5 from both sides: 2m + 5 - 5 = 9 - 5 2m = 4 Divide both sides by 2: 2m / 2 = 4 / 2 m = 2

4. -13y - 1 = 11 - 12y Add 12y to both sides: -13y + 12y - 1 = 11 + 12y - 12y -y - 1 = 11 Add 1 to both sides: -y - 1 + 1 = 11 + 1 -y = 12 Multiply both sides by -1 to solve for y: -1 * -y = 12 * -1 y = -12

5. 6m + 13 = 4m - 17 Subtract 4m from both sides: 6m - 4m + 13 = 4m - 4m - 17 2m + 13 = -17 Subtract 13 from both sides: 2m + 13 - 13 = -17 - 13 2m = -30 Divide both sides by 2: 2m / 2 = -30 / 2 m = -15

These are the solutions for the variables in each equation:

1. x = 3
2. a = 7
3. m = 2
4. y = -12
5. m = -15