Question

А) 3х-8=х+6 б) 7а-10=2-4ав) 1/6у-1/2=3-1/2уг) 2.6-0.2b=4.1-0.5bд) p-1/4=3/8+1/2pе) 0.8-y=3.2+yж) 2/7x=1/2з) 2х-0.7х=0

Answer 1

Ответ: на фото

Объяснение:

Answer 2

Ответ:ответ на фото

Объяснение:

Answer 3

To solve these equations, we will isolate the variable (denoted by the letters) on one side of the equation. Let's go through each of them step by step:

а) 3х - 8 = х + 6

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. 3х - х = 6 + 8 2х = 14

Step 3: Isolate the variable (х) on one side. х = 14 / 2 х = 7

So, the solution for equation (а) is х = 7.

б) 7а - 10 = 2 - 4а

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. 7а + 4а = 2 + 10 11а = 12

Step 3: Isolate the variable (а) on one side. а = 12 / 11

So, the solution for equation (б) is а = 12/11.

в) (1/6)у - (1/2) = 3 - (1/2)у

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. (1/6)у + (1/2)у = 3 + (1/2) (1/6 + 1/2)у = 7/2

Step 3: Isolate the variable (у) on one side. (7/6)у = 7/2

Step 4: Solve for у by dividing both sides by (7/6). у = (7/2) / (7/6) у = (7/2) * (6/7) у = 3

So, the solution for equation (в) is у = 3.

г) 2.6 - 0.2b = 4.1 - 0.5b

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. 0.2b - 0.5b = 4.1 - 2.6 -0.3b = 1.5

Step 3: Isolate the variable (b) on one side. b = 1.5 / -0.3 b = -5

So, the solution for equation (г) is b = -5.

д) р - 1/4 = 3/8 + 1/2р

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. р - 1/2р = 3/8 + 1/4 (1 - 1/2)р = 3/8 + 1/4 (1/2)р = 3/8 + 2/8 (1/2)р = 5/8

Step 3: Isolate the variable (р) on one side. р = (5/8) / (1/2) р = (5/8) * (2/1) р = 5/4

So, the solution for equation (д) is р = 5/4.

е) 0.8 - у = 3.2 + у

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Combine like terms. у + у = 3.2 - 0.8 2у = 2.4

Step 3: Isolate the variable (у) on one side. у = 2.4 / 2 у = 1.2

So, the solution for equation (е) is у = 1.2.

ж) (2/7)х = 1/2

Step 1: Get rid of the parentheses if any. No parentheses in this equation.

Step 2: Isolate the variable (х) on one side. х = (1/2) / (2/7) х = (1/2) * (7/2) х = 7/4

So, the solution for equation (ж) is х = 7/4.

з) 2х - 0.7х = 0

Step 1: Combine like terms. 2х - 0.7х = 0.3х

Step 2: Isolate the variable (х) on one side. 0.3х = 0

Step 3: Solve for х by dividing both sides by 0.3. х = 0 / 0.3 х = 0

So, the solution for equation (з) is х = 0.