Your model car is 7 inches long. it is an exact model of a car that is 10.5 feet long. a window on the car is how many times wider than a window on the model?

The number of times the window on the car is wider than a window on the model is nothing but the scale factor.

To find the scale factor, let us divide the original length of the car by its model's length.

Length of the original car = 10.5 feet = 10.5(12) = 126 inches.

Length of the model car = 7 inches.

So, scale factor = 126/7

= 18

Hence, a window on the car is 18 times wider than a window on the model.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1