Question

1. 6,9+7x=3x-5,9 2. 3y+4,1=y-0,5 3. 2 (3x-1)+6 (1+x)=2 4. 14x+8=53-x 5. 3,7x-0,8=4,2+1,2x 6. 11,2x-3,8=1,2x+2,7 7. 6y+7,8=2y-4,6

Answer 1

Вот первое решила на картинке

Answer 2

1) 6,9+7x=3x-5,9
7x-3x=-6.9-5.9
4x=-12.8
x=-3.2
2)3y+4,1=y-0,5
3y-y=-4.1-0.5
2y=-7.8
y=-3.9
3)2 (3x-1)+6 (1+x)=2
6x-2+6+6x=2
12x=4
x=3
4)14x+8=53-x
14x+x=53-8
15x=45
x=3
5)3,7x-0,8=4,2+1,2x
3.7x-1.2x=4.2+0.8
2.5x=5
x=2
6) 11,2x-3,8=1,2x+2,7
11.2x-1.2x=2.7+3.8
10x=6.6
x=0.66
7)6y+7,8=2y-4,6
6y-2y=-7.8-4.6
4y=-12.4
y=-3.1

Answer 3

To solve each of the given equations, we'll perform the necessary operations to isolate the variable on one side of the equation. Let's go through each equation step by step:

1. 6.9 + 7x = 3x - 5.9 Step 1: Move all terms containing 'x' to one side and constant terms to the other side. 7x - 3x = -5.9 - 6.9 Step 2: Combine like terms. 4x = -12.8 Step 3: Solve for 'x'. x = -12.8 / 4 x = -3.2

2. 3y + 4.1 = y - 0.5 Step 1: Move all terms containing 'y' to one side and constant terms to the other side. 3y - y = -0.5 - 4.1 Step 2: Combine like terms. 2y = -4.6 Step 3: Solve for 'y'. y = -4.6 / 2 y = -2.3

3. 2(3x - 1) + 6(1 + x) = 2 Step 1: Distribute the values inside the parentheses. 6x - 2 + 6 + 6x = 2 Step 2: Combine like terms. 12x + 4 = 2 Step 3: Move the constant term to the other side. 12x = 2 - 4 12x = -2 Step 4: Solve for 'x'. x = -2 / 12 x = -1/6

4. 14x + 8 = 53 - x Step 1: Move all terms containing 'x' to one side and constant terms to the other side. 14x + x = 53 - 8 Step 2: Combine like terms. 15x = 45 Step 3: Solve for 'x'. x = 45 / 15 x = 3

5. 3.7x - 0.8 = 4.2 + 1.2x Step 1: Move all terms containing 'x' to one side and constant terms to the other side. 3.7x - 1.2x = 4.2 + 0.8 Step 2: Combine like terms. 2.5x = 5 Step 3: Solve for 'x'. x = 5 / 2.5 x = 2

6. 11.2x - 3.8 = 1.2x + 2.7 Step 1: Move all terms containing 'x' to one side and constant terms to the other side. 11.2x - 1.2x = 2.7 + 3.8 Step 2: Combine like terms. 10x = 6.5 Step 3: Solve for 'x'. x = 6.5 / 10 x = 0.65

7. 6y + 7.8 = 2y - 4.6 Step 1: Move all terms containing 'y' to one side and constant terms to the other side. 6y - 2y = -4.6 - 7.8 Step 2: Combine like terms. 4y = -12.4 Step 3: Solve for 'y'. y = -12.4 / 4 y = -3.1

So, the solutions to the given equations are:

1. x = -3.2
2. y = -2.3
3. x = -1/6
4. x = 3
5. x = 2
6. x = 0.65
7. y = -3.1