Question

1. − 2x−7 = − 4x 2. x−2 = − 3x 3. 1−10x = 5x+10 4. − 5+2x = − 2x−3 5. 4(x+1) = −9 6. 2(x−6) = 5 7. 10(x+3) = 3

Answer 1

Ответ:

1. х=3,5

2. х=0,5

3. х=-0,6

4. х=0,5

5. х=-3,25

6, х=8,5

7. х=-2,7

Пошаговое объяснение:

Answer 2

Ответ:

1.

-2х+4х=7

2х=7

х=7/2

2.

х+3х=2

4х=2

х=1/2

3.

-10х-5х=10-1

-15х=9

х=-3/5

4.

2х+2х=-3+5

4х=2

х=1/2

5.

4х+4=-9

4х=-9-4

4х=-13

х=-13/4

6.

2х-12=5

2х=5+12

2х=17

х=17/2

7.

10х=3-30

10х=-27

х=-27/10

Пошаговое объяснение:

Answer 3

To solve these linear equations, you'll want to isolate the variable x on one side of the equation. Here are the solutions for each of the equations:

1. -2x - 7 = -4x Add 4x to both sides: -2x + 4x - 7 = 0 2x - 7 = 0 Add 7 to both sides: 2x = 7 Divide both sides by 2: x = 7/2 or x = 3.5

2. x - 2 = -3x Add 3x to both sides: x + 3x - 2 = 0 4x - 2 = 0 Add 2 to both sides: 4x = 2 Divide both sides by 4: x = 2/4 or x = 1/2

3. 1 - 10x = 5x + 10 Add 10x to both sides: 1 - 10x + 10x = 5x + 10 + 10x 1 = 15x + 10 Subtract 10 from both sides: 1 - 10 = 15x -9 = 15x Divide both sides by 15: x = -9/15 or x = -3/5

4. -5 + 2x = -2x - 3 Add 2x to both sides: -5 + 2x + 2x = -2x + 2x - 3 -5 + 4x = -3 Add 5 to both sides: -5 + 5 + 4x = -3 + 5 4x = 2 Divide both sides by 4: 4x/4 = 2/4 x = 1/2

5. 4(x + 1) = -9 Distribute 4 on the left side: 4x + 4 = -9 Subtract 4 from both sides: 4x + 4 - 4 = -9 - 4 4x = -13 Divide both sides by 4: 4x/4 = -13/4 x = -13/4

6. 2(x - 6) = 5 Distribute 2 on the left side: 2x - 12 = 5 Add 12 to both sides: 2x - 12 + 12 = 5 + 12 2x = 17 Divide both sides by 2: 2x/2 = 17/2 x = 17/2 or x = 8.5

7. 10(x + 3) = 3 Distribute 10 on the left side: 10x + 30 = 3 Subtract 30 from both sides: 10x + 30 - 30 = 3 - 30 10x = -27 Divide both sides by 10: 10x/10 = -27/10 x = -27/10 or x = -2.7