Question

6) 7x + 2 = 3x - 10;3x - 8 = x + 6;9 + 5x = 7 + 4x;10m - 6 = 11m - 7;​

Answer 1

Ответ:

Пошаговое объяснение:

7x + 2 = 3x - 10

7х-3х=-10-2

4х=-12

Х=-12:4

Х=-3

3x - 8 = x + 6

3х-х=6+8

2х=14

Х=14:2

Х=7

9 + 5x = 7 + 4x

5х-4х=7-9

Х=-2

10m - 6 = 11m - 7

10m-11m=6-7

-m=-1

m=1

Answer 2

Let's solve each of these equations step by step:

1. 7x + 2 = 3x - 10

To isolate the variable x, first, you can get rid of the constants on one side of the equation by subtracting 3x from both sides:

7x - 3x + 2 = -10

This simplifies to:

4x + 2 = -10

Now, subtract 2 from both sides to isolate 4x:

4x = -10 - 2 4x = -12

Finally, divide by 4 to solve for x:

x = -12 / 4 x = -3

So, the solution for this equation is x = -3.

2. 3x - 8 = x + 6

First, subtract x from both sides to move all x terms to one side:

3x - x - 8 = 6

Simplify:

2x - 8 = 6

Now, add 8 to both sides to isolate 2x:

2x - 8 + 8 = 6 + 8 2x = 14

Finally, divide by 2 to solve for x:

2x = 14 x = 14 / 2 x = 7

So, the solution for this equation is x = 7.

3. 9 + 5x = 7 + 4x

First, subtract 4x from both sides to move all x terms to one side:

9 + 5x - 4x = 7

Simplify:

x + 9 = 7

Now, subtract 9 from both sides to isolate x:

x + 9 - 9 = 7 - 9 x = -2

So, the solution for this equation is x = -2.

4. 10m - 6 = 11m - 7

First, subtract 10m from both sides to move all m terms to one side:

10m - 11m - 6 = -7

Simplify:

-m - 6 = -7

Now, add 6 to both sides to isolate -m:

-m - 6 + 6 = -7 + 6 -m = -1

Finally, multiply both sides by -1 to solve for m:

-m = -1 m = 1

So, the solution for this equation is m = 1.