SOLUTION: 4x=3(4-y) 2y=4(3-x) How do I solve this by graphing? The answer given in the book says that the two lines intersect at (3,0) but I do not know how they got to that answer.

Algebra ->  Graphs -> SOLUTION: 4x=3(4-y) 2y=4(3-x) How do I solve this by graphing? The answer given in the book says that the two lines intersect at (3,0) but I do not know how they got to that answer.      Log On


   



Question 801130: 4x=3(4-y)
2y=4(3-x)
How do I solve this by graphing? The answer given in the book says that the two lines intersect at (3,0) but I do not know how they got to that answer.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
4x=3(4-y)
2y=4(3-x)
first step is to put each equation in standard form y = mx +b
1)4x=3(4-y)
4x = 12 -3y
-3y = 4x - 12
y = -4x/3 +4
2)2y=4(3-x)
2y = 12 -4x
y = -2x +6
now we can graph the following two equations
y = -4x/3 +4
y = -2x +6
+graph%28+300%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+-4x%2F3+%2B4%2C-2x%2B6%29+
now you can see that the intersection point is (3, 0)