A house has a front yard with an area of 4,200 ft.2 . The area of the house plus the area of the yard is 8 times the area of the house alone. What equation does this real-world situation model? Use A for the area of the house.(1 point)

Answer 1

A + 4,200 = 8A

Answer 2

Solve for X
1. 9x + 16 = 6x + 1
2. 4x - 3 = 3x - 9
3. 3x - 3 = 6x + 18

Answer 3

1. To solve for x, we want to isolate it on one side of the equation.

9x + 16 = 6x + 1

Subtract 6x from both sides:

9x - 6x + 16 = 6x - 6x + 1

Simplify:

3x + 16 = 1

To isolate x, subtract 16 from both sides:

3x + 16 - 16 = 1 - 16

Simplify:

3x = -15

Finally, divide both sides by 3:

x = -15/3

x = -5

Therefore, x equals -5.

2. To solve for x in the second equation, we will follow the same steps:

4x - 3 = 3x - 9

Subtract 3x from both sides:

4x - 3x - 3 = 3x - 3x - 9

Simplify:

x - 3 = -9

To isolate x, add 3 to both sides:

x - 3 + 3 = -9 + 3

Simplify:

x = -6

So, x equals -6.

3. To solve the third equation, we again follow the same steps:

3x - 3 = 6x + 18

Subtract 6x from both sides:

3x - 6x - 3 = 6x - 6x + 18

Simplify:

-3x - 3 = 18

To isolate x, add 3 to both sides:

-3x - 3 + 3 = 18 + 3

Simplify:

-3x = 21

Finally, divide both sides by -3:

x = 21/-3

x = -7

Thus, x equals -7.