Solve the system by graphing.?

Question

x + y = 4
–x + y = 2



Thanks in advance for any help at all on this one!

Answer 1

Start by solving each equation in terms of y:
y = -x + 4
y = x + 2

Create a table of values that solve the first equation, by plugging in values like x = 0, 1, 2... to see what you get for y:
x | y
-----
0, 4
1, 3
2, 2
3, 1
4, 0

Then do the same for the second equation:
x | y
-----
0, 2
1, 3
2, 4
3, 5
4, 6

Graph the equations and you'll see that they intersect at the point (1, 3). The following link shows what the graph should look like. The pink line is the first equation; the green line is the second. Also notice that the first goes down (slope of -1) and the second goes up (slope of 1). Additionally the y-intercepts are 4 and 2 respectively.

Anyway, the answer is x = 1, y = 3
(1, 3)

Answer 2

you draw a line y=-x + 4 and y = x + 2

they cross at (1,3) and that is the solution for the system of eq
x= 1, and y = 3