You can put this solution on YOUR website! the solution of 5x+2y=4 and 4x-2y=4 will be the point of intersection of the two lines, begin by putting each each equation in standard line format, y =mx+b
a) 5x +2y = 4
2y = -5x +4
y = -5x/2 + 2 (this will be red line on graph)
b) 4x -2y = 4
-2y = -4x +4
y = 2x - 2 (this will be green line on graph)
we can see from the graph that the point of intersection is (8/9, -2/9)
we can check this solution by setting the two standard forms of our equation equal to each other and solving for x
-5x/2 +2 = 2x -2
add 2 to both sides of =
-5x/2 +4 = = 2x
subtract 2x from both sides of =
-9x/2 +4 = 0
subtract 4 from both sides of =
-9x/2 = -4
-9x = -8
x = 8/9
then substitute for x in either equation to get y
b) y = 2*8/9 -2
y = 16/9 - 18/9
y = -2/9
