What is the solution to the system of equations? y = 1.5x – 4 y = –x (–1.6, 1.6) (–1.5, 1.5) (1.5, –1.5) (1.6, –1.6)

x = 1.6 , y = -1.6 or your Answer (1.6, –1.6)

Step-by-step explanation:

Substitute y = 1.5 x - 4 into the second equation:

{y = 1.5 x - 4

1.5 x - 4 = -x

In the second equation, look to solve for x:

{y = 1.5 x - 4

{1.5 x - 4 = -x

1.5 x - 4 = (3 x)/2 - 4:

{(3 x)/2 - 4 = -x

Add x + 4 to both sides:

{y = 1.5 x - 4

{(5 x)/2 = 4

Multiply both sides by 2/5:

{y = 1.5 x - 4

{x = 8/5

Substitute x = 8/5 into the first equation:

{y = -1.6

{x = 8/5

Collect results in alphabetical order:

 {x = 8/5 , y = -1.6

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,