Question

solve by graphing
x+y=6
x-y=4

Answer 1

well use a table of values for each line

x + y = 6... or y = 6 - x

x: 0 : 1: 2
---------
y: 6 : 5: 4

plot the points (0,6), (1, 5), (2, 4) on the number plane

same process for your other line

x - y = 4 or y = x - 4

x: 0 : 1: 2
---------
y: -4: -3: -2

plot the ordered pairs

the point of intersection is the solution

Answer 2

what kind of graph do you want?

Answer 3

hand drawn or a colorful graph?