SOLUTION: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle.

Algebra ->  Graphs -> SOLUTION: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle.      Log On


   

Question 72141: The sides of an angle are parts of two lines whoes equations are y = -3/2x - 6 and y = 2/3x + 7. Find the coordinates of the vertex of the angle.
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
y=-3x/2-6 now substitute (-3x/2-6) for y in the other equation & solve for x
-3x/2-6=2x/3+7
-3x/2-2x/3=7+6
(-9x-4x)/6=13
-13x/6=-13
-13x=13*6
-13x=78
x=78/-13
x=-6 answer
now substitute -6 for x and solve for y
y=2*-6/3+7
y=-12/3+7
y=-4+7
y=3 answer
+graph%28+200%2C+200%2C+-10%2C+10%2C+-10%2C+10%2C+y+=+-3x%2F2+-6%2C+y+=+2x%2F3+%2B7%29+ (graph 200x200 pixels, x from -10 to 10, y from -10 to 10, of TWO functions y = -3x/2 -6 and y = 2x/3 +7).