Question

5x-9=3x+1 -2y+14=8y-6 11x=-4x 0,8+16=20+0,7x 6*(x-1)=12 (y+8)*(-7)=15

Answer 1

$1)5x - 9 = 3x + 1 \\ 5x - 3x =1 + 9 \\ 2x = 10 \\ x = 5 \\ 5 \times 5 - 9 = 3 \times 5 + 1 \\ 16 = 16$
$2) - 2y + 14 = 8y - 6 \\ - 2y - 8y = - 6 - 14 \\ - 10y = - 20 \\ y = 2 \\ - 2 \times 2 + 14 = 8 \times 2 - 6 \\ - 4 + 14 = 16 - 6 \\ 10 = 10$
$3)11x = - 4x \\ 11x + 4x = 0 \\ 15x = 0 \\ 11 \times 0 = - 4 \times 0 \\ 0 = 0$
$4)0.8 + 16 = 20 + 0.7x \\ 16.8 = 20 + 0.7x \\ - 0.7x = 20 - 16.8 \\ - 0.7x = 3.2 \\ x = 3.2 \div ( - 0.7) \\ x = - \frac{32}{7}$
$5)6( \times - 1) = 12 \\ 6x - 6 = 12 \\ 6x = 12 + 6 \\ 6x = 18 \\ x = 3 \\ 6(3 - 1) = 12 \\ 12 = 12$
$(x + 8) \times ( - 7) = 15 \\ - 7x - 56 = 15 \\ - 7x = 15 + 56 \\ - 7x = 71 \\ x = 71 \div 7 \\ x10 \frac{1}{7}$

Answer 2

Let's solve each equation one by one:

1. 5x-9=3x+1

To solve for x, we need to get all the x terms on one side and the constant terms on the other side. So we can subtract 3x from both sides:

5x - 3x - 9 = 3x - 3x + 1

Simplifying the left side and right side:

2x - 9 = 1

Adding 9 to both sides:

2x = 10

Dividing both sides by 2:

x = 5

So the solution is x=5.

2. -2y+14=8y-6

Again, we want to get all the y terms on one side and the constant terms on the other side. To do that, we can subtract 8y from both sides:

-2y - 8y + 14 = 8y - 8y - 6

Simplifying the left side and right side:

-10y + 14 = -6

Subtracting 14 from both sides:

-10y = -20

Dividing both sides by -10:

y = 2

So the solution is y=2.

3. 11x=-4x

To solve for x, we want to get all the x terms on one side. So we can add 4x to both sides:

11x + 4x = 0

Simplifying the left side:

15x = 0

Dividing both sides by 15:

x = 0

So the solution is x=0.

4. 0,8+16=20+0,7x

To solve for x, we want to get all the x terms on one side and the constant terms on the other side. To do that, we can subtract 20 and 0.8 from both sides:

16 - 20 - 0.8 = 0.7x

Simplifying the left side:

-4.8 = 0.7x

Dividing both sides by 0.7:

x = -6.86 (rounded to two decimal places)

So the solution is x=-6.86.

5. 6*(x-1)=12

To solve for x, we want to isolate x on one side. So we can divide both sides by 6:

x - 1 = 2

Adding 1 to both sides:

x = 3

So the solution is x=3.

6. (y+8)*(-7)=15

To solve for y, we want to isolate y on one side. So we can divide both sides by -7:

y + 8 = -15/7

Subtracting 8 from both sides:

y = -15/7 - 56/7

Simplifying the right side:

y = -71/7

So the solution is y=-71/7 or -10.14 (rounded to two decimal places).