Question

1) 10х – 7 = 5х + 14; 2) 4,72 – 2,5х = 2х + 2,92; 3) 5(2х – 4 ) = 6х + 8; 4) 3(х - 6) = 2х + 2(х + 9).

Answer 1

Ответ:

1)4.2

2)0.4

3)7

4)-36

Пошаговое объяснение:

1) 10х – 7 = 5х + 14

10x-5x=14+7

5x=21

x=21/5

x=4.2

2) 4,72 – 2,5х = 2х + 2,92

-2,5x-2x=2.92-4.72

-4.5x=-1.8

x=-1.8÷(-4.5)

x=0.4

3) 5(2х – 4 ) = 6х + 8

10x-20=6x+8

10x-6x=8+20

4x=28

x=28÷4

x=7

4) 3(х - 6) = 2х + 2(х + 9)

3x-18=2x+2x+18

3x-2x-2x=18+18

-x=36

x=-36

Answer 2

Ответ:

1)10х-7=5х+14

10х-5х=14+7

5х=21

х=21÷5

х=4,2

2)4,72-2,5х=2х+2,92

-2,5х-2х=2,92-4,72

-0,5х=-2,2

х=-2,2÷(-0,5)

х=1,1

3)5(2х-4)=6х+8

10х-20=6х+8

10х-6х=8-20

4х=-12

х=-12÷4

х=-3

4)3(х-6)=2х+2(х+9)

3х-18=2х+2х+18

3х-2х-2х=18+18

-х=36 (-1)

х=-36

Answer 3

To solve each equation, we'll follow the steps for isolating the variable (x) on one side of the equation. Let's solve each equation one by one:

1. 10x - 7 = 5x + 14

Step 1: Move the variable terms to one side of the equation and the constant terms to the other side. 10x - 5x = 14 + 7

Step 2: Simplify and combine like terms. 5x = 21

Step 3: Isolate the variable by dividing both sides by the coefficient of x. x = 21 / 5 x = 4.2

So the solution to the first equation is x = 4.2.

2. 4.72 - 2.5x = 2x + 2.92

Step 1: Move the variable terms to one side of the equation and the constant terms to the other side. 4.72 - 2.92 = 2.5x + 2x

Step 2: Simplify and combine like terms. 1.8 = 4.5x

Step 3: Isolate the variable by dividing both sides by the coefficient of x. x = 1.8 / 4.5 x = 0.4

So the solution to the second equation is x = 0.4.

3. 5(2x - 4) = 6x + 8

Step 1: Distribute the 5 on the left side of the equation. 10x - 20 = 6x + 8

Step 2: Move the variable terms to one side of the equation and the constant terms to the other side. 10x - 6x = 8 + 20

Step 3: Simplify and combine like terms. 4x = 28

Step 4: Isolate the variable by dividing both sides by the coefficient of x. x = 28 / 4 x = 7

So the solution to the third equation is x = 7.

4. 3(x - 6) = 2x + 2(x + 9)

Step 1: Distribute the 3 and 2 on the left side of the equation. 3x - 18 = 2x + 2x + 18

Step 2: Move the variable terms to one side of the equation and the constant terms to the other side. 3x - 2x - 2x = 18 + 18

Step 3: Simplify and combine like terms. -x = 36

Step 4: Isolate the variable by multiplying both sides by -1 (to change the sign). x = -36

So the solution to the fourth equation is x = -36.

Please double-check the solutions for any mistakes as manual calculations can sometimes lead to errors.