Question

2x+8=6x-2 10y+3=2y-1 -4+3к=8к+5​

Answer 1

Ответ:

2х+8=6х-2

2х-6х=-2-8

-4х=-10

х=-10/(-4)

х=2.5

10у+3=2у-1

10у-2у=-1-3

8у=-4

у=-4/8

у=-0.5

-4+3к=8к+5

3к-8к=5+4

-5к=9

к=9/(-5)

к=-1.8

Объяснение:

Answer 2

Объяснение:

$2x + 8 = 6x - 2 \\ 2x - 6x = - 2 - 8 \\ - 4x = - 2 - 8 \\ - 4x = - 10 \\ x = \frac{5}{2} = 2 \frac{1}{2} = 2.5$

$10y + 3 = 2y - 1 \\ 10y - 2y = - 1 - 3 \\ 8y = - 1 - 3 \\ 8y = - 4 \\ y = - \frac{1}{2} = - 0.5$

$- 4 + 3k = 8k + 5 \\ 3k - 8k = 5 + 4 \\ - 5k = 5 + 4 \\ - 5k = 9 \\ k = - \frac{9}{5} = - 1 \frac{4}{5} = - 1.8$

Answer 3

To solve each of these linear equations, let's go through them one by one.

1. $2x + 8 = 6x - 2$

   First, combine like terms:

   $8 = 4x - 2$

   Add 2 to both sides:

   $10 = 4x$

   Divide by 4:

   $x = \frac{10}{4} = \frac{5}{2}$

2. $10y + 3 = 2y - 1$

   Combine like terms:

   $3 = -8y - 1$

   Add 1 to both sides:

   $4 = -8y$

   Divide by -8:

   $y = -\frac{1}{2}$

3. $-4 + 3k = 8k + 5$

   Combine like terms:

   $-4 = 5k + 5$

   Subtract 5 from both sides:

   $-9 = 5k$

   Divide by 5:

   $k = -\frac{9}{5}$

So, the solutions are:

1. $x = \frac{5}{2}$
2. $y = -\frac{1}{2}$
3. $k = -\frac{9}{5}$