(08.01)Consider the following pair of equations: −x − y = −5
y = x + 1

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−2, 3)
(3, −2)
(2, 3)
(3, 2)

(2,3)

Step-by-step explanation:

this is the only coordinate that can be plugged in and still be true. therefore, this is the only value that intersect and creates a point.

from the first equation

-x-y=-5

-x=y-5

: x=5-y. eqn 3

y= x+1

subtitute x in this equation

:- y= 5-y+1

y+y= 6

2y = 6

y=3

subtitute y in eqn 3

x=y-5

:- x=3-5

x= -2

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47