Question

A) 7x - 5 = 6x +1; 6) 4x-3=2x+5 ; B) 9 - 89 = -6y + 1; 7) 6m + 3 = 7m + 8​

Answer 1

Ответ:

A) x=6

Б) x=4

В) $y = \frac{27}{2}$

Г) m=-5

Пошаговое объяснение:

А) 7x-5 =6x+1

7x-6x-5=1

7x-6x=1+5

x=1+5

x=6

Б) 4x-3=2x+5

4x-2x-3=5

4x-2x=5+3

2x=5+3

2x=8

x=4

В) 9-89=-6y+1

-80=-6y+1

6y-80=1

6y=1+80

6y=81

$y = \frac{27 }{2}$

Г) 6m+3=7m+8

6m-7m+3=8

6m-7m=8-3

-m=8-3

-m=5

m=-5

Answer 2

Sure, I can help you solve these equations.

A)

1. 7x - 5 = 6x + 1

To solve for x, we want to isolate x on one side of the equation. Start by subtracting 6x from both sides of the equation:

7x - 6x - 5 = 6x - 6x + 1

This simplifies to:

x - 5 = 1

Now, add 5 to both sides to isolate x:

x - 5 + 5 = 1 + 5

x = 6

So, the solution to the first equation is x = 6.

2. 4x - 3 = 2x + 5

To solve for x, we'll follow a similar process. Start by subtracting 2x from both sides of the equation:

4x - 2x - 3 = 2x - 2x + 5

This simplifies to:

2x - 3 = 5

Now, add 3 to both sides to isolate x:

2x - 3 + 3 = 5 + 3

2x = 8

Finally, divide both sides by 2 to find x:

(2x)/2 = 8/2

x = 4

So, the solution to the second equation is x = 4.

B)

1. 9 - 89 = -6y + 1

To solve for y, we'll isolate y on one side of the equation. Start by subtracting 9 from both sides:

-89 - 9 = -6y + 1 - 9

This simplifies to:

-98 = -6y - 8

Now, add 8 to both sides:

-98 + 8 = -6y - 8 + 8

-90 = -6y

Finally, divide both sides by -6 to find y:

(-90)/(-6) = -6y/(-6)

y = 15

So, the solution to the first equation in part B is y = 15.

2. 6m + 3 = 7m + 8

To solve for m, start by subtracting 6m from both sides of the equation:

6m - 6m + 3 = 7m - 6m + 8

This simplifies to:

3 = m + 8

Now, subtract 8 from both sides to isolate m:

3 - 8 = m + 8 - 8

-5 = m

So, the solution to the second equation in part B is m = -5.