Kim drew a map of the Mississippi River. The scale was 5 centimeters represents 120 miles. The actual length of the Mississippi River is 2,320 miles. Approximately what is the length in centimeters of the Mississippi River on the map?

We have been given that Kim drew a map of the Mississippi River. The scale was 5 centi-meters represents 120 miles. The actual length of the Mississippi River is 2,320 miles.

We are asked to find the length of Mississippi River on the map.

We will use proportions to find the length of Mississippi River on the map as proportions states that ratio between two proportional quantities is same.

Therefore, the length of Mississippi River on the map is approximately 96.7 cm.

{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