how would i find coordinates for this question: y=x-2 and y=4-x??

Answer 1

x - 2 = 4 - x
2x = 6
x = 3
y = 1
Coords are (3 , 1)

Answer 2

Y = x - 2 is an equation defining a line.
Replace "x" with a numerical value, then calculate
When x=0, y = 0 - 2 = -2
x=1, y=-1
x=2, y=0
x=3, y=1
x=4, y=2
x=5,y=3
and so on
Y = 4 - x is another equation defining another line
When x = 0, y = 4
x = 1, y = 3
x = 2, y = 2
x = 3, y = 1
x = 4 , y = 0
and so on

The intersection of the two lines occurs when the
the resulting y value from the two equations are the same
for the same x value. This occurs at x = 3
x = 3, y = 1

This can be directly found by using substitution method
y = x - 2 into
y = 4 - x

x - 2 = 4 - x
2x - 2 = 4
2x = 6
x = 3
When x = 3, the Y value from both equations are the same
This is where the two lines intersect.
Hope this helps. Good luck.

Answer 3

Perhaps what you're asking for is the coordinates the two lines will intersect.

Line 1: y = x - 2
Line 2; x = 4 - y
Lines will intersect at the point where the x of Line 1 = the x in Line 2, stated mathematically:

Line 1: y = x - 2
= (4 - y) - 2 : note: (4-y) is the x of Line 2
therefore, doing the math
y = (4 - y) - 2
y = 4 - 2 - y
y + y = 2
2y = 2 =====> y = 1
to get the value of x, substitute 1 into Line 2
x = 4 - y
x = 4 - 1 =====> x = 3

Answer 4

the 2 equations intercept at x = 3

Answer 5

ugghh, hard one..
you actually need to know
a coordinate for x
if u wanna finish doing problem
cause you dont know what x is to minus two
neither minus 4