Question

1) 3x-7= 2 3) 1-4x= -11 5) 3-7x=x-1 7) 6-8x=5-6x 1) 12y-(y-3)= 2 3) 14x-3+(6-2)= -5

Answer 1

Ответ:

1) x =3

3) x =3

5) x=0.5

7) x=0.5

Answer 2

Let's solve these equations step by step:

1. 3x - 7 = 2 To solve for x, first, add 7 to both sides of the equation: 3x - 7 + 7 = 2 + 7 3x = 9

Now, divide both sides by 3 to isolate x: 3x/3 = 9/3 x = 3

So, the solution is x = 3.

3. 1 - 4x = -11 To solve for x, first, add 11 to both sides of the equation: 1 - 4x + 11 = -11 + 11 -4x + 12 = 0

Now, subtract 12 from both sides: -4x + 12 - 12 = 0 - 12 -4x = -12

Finally, divide both sides by -4 to isolate x: (-4x)/(-4) = (-12)/(-4) x = 3

So, the solution is x = 3.

5. 3 - 7x = x - 1 To solve for x, first, add 7x to both sides of the equation to move the x terms to one side: 3 - 7x + 7x = x - 1 + 7x 3 = 8x - 1

Now, add 1 to both sides: 3 + 1 = 8x - 1 + 1 4 = 8x

Finally, divide both sides by 8 to isolate x: 4/8 = 8x/8 x = 1/2

So, the solution is x = 1/2.

7. 6 - 8x = 5 - 6x To solve for x, first, move all the x terms to one side by subtracting 5 from both sides: 6 - 8x - 5 = 5 - 6x - 5 1 - 8x = -6x

Now, add 8x to both sides: 1 - 8x + 8x = -6x + 8x 1 = 2x

Finally, divide both sides by 2 to isolate x: 1/2 = 2x/2 x = 1/2

So, the solution is x = 1/2.

Now, let's solve the equations involving y:

1. 12y - (y - 3) = 2 First, distribute the negative sign into the parentheses: 12y - y + 3 = 2

Now, combine like terms by subtracting y from 12y: 11y + 3 = 2

Next, subtract 3 from both sides: 11y + 3 - 3 = 2 - 3 11y = -1

Finally, divide both sides by 11 to isolate y: (11y)/11 = (-1)/11 y = -1/11

So, the solution is y = -1/11.

3. 14x - 3 + (6 - 2) = -5 First, simplify the expression inside the parentheses: 14x - 3 + 4 = -5

Now, combine like terms by adding -3 and 4: 14x + 1 = -5

Subtract 1 from both sides: 14x + 1 - 1 = -5 - 1 14x = -6

Finally, divide both sides by 14 to isolate x: (14x)/14 = (-6)/14 x = -3/7

So, the solution is x = -3/7.