Question

1) 7-3x=6x-56 2) 5,8-1,6x=0,3x-1,8 3) 3(x+6)=x+2(x+9) 7) 19,6+y=7(1,2-y)

Answer 1

Пошаговое объяснение:

1)7-3x=6x-56

-3x-6x=-7-56

-9x=-63

x=7

2)5,8-1,6x=0,3x-1,8

-1,6x-0,3x=-5,8-1,8

-1,9x=-7,6

x=4

3)3(x+6)=x+2(x+9)

3x+18=x+2x+18

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

0

7)19,6+y=7(1,2-y)

19,6+y=8,4-7y

y+7y=-19,6+8,4

8y=-11,2

y=-1,4

Answer 2

Let's solve each of the equations:

1. 7 - 3x = 6x - 56:

First, let's isolate x by moving the terms involving x to one side of the equation and constants to the other side:

7 + 56 = 6x + 3x

63 = 9x

Now, divide both sides by 9 to solve for x:

x = 63 / 9 x = 7

So, the solution is x = 7.

2. 5.8 - 1.6x = 0.3x - 1.8:

Again, let's isolate x by moving the terms involving x to one side of the equation and constants to the other side:

5.8 + 1.8 = 0.3x + 1.6x

7.6 = 1.9x

Now, divide both sides by 1.9 to solve for x:

x = 7.6 / 1.9 x = 4

So, the solution is x = 4.

3. 3(x + 6) = x + 2(x + 9):

First, distribute the 3 on the left side of the equation:

3x + 18 = x + 2x + 18

Now, combine like terms on both sides:

3x + 18 = 3x + 18

The equation simplifies to 3x + 18 = 3x + 18. This equation has no unique solution because the terms cancel out, and you're left with an identity. In this case, the solution is any real number since both sides of the equation are equal.

7. 19.6 + y = 7(1.2 - y):

First, distribute the 7 on the right side of the equation:

19.6 + y = 7.2 - 7y

Now, move the terms involving y to one side of the equation and constants to the other side:

y + 7y = 7.2 - 19.6

8y = -12.4

Now, divide both sides by 8 to solve for y:

y = -12.4 / 8 y = -1.55

So, the solution is y = -1.55.