Solve: 2x + 3y = 1
y = -23 +11

x = 18.5

y = -12

Step-by-step explanation:

First, solve y:

y = -23 + 11

y = -12

Then, solve the main problem:

2x + 3y = 1

(Substitute y)

2x + -36 = 1

2x - 36 = 1

2x = 1 + 36 = 37

x = 37 / 2

x = 18.5

The length of the deck above the top of the mountain will be found as follows:
sin θ=opposite/ adjacent

The height of the mountain will be given  by:
sin15.7=m/5.8
m=5.8sin15.7
m=1.57 km

The distance from the ground to the top of the deck will be:
sin 15.9=h/5.8
h=5.8sin15.9
h=1.588
The height of the deck will be:
h-m
=1.588-1.57
=0.0018
=18 meters