Question

(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)

Answer 1

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

Answer 2

(2,3)

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.