SOLUTION: ''draw the graph of two equations 2x+y=3 and 3x+2y=1 on same graph find the point of intersection of these points and represent it by equation :) hoping you will help

Algebra ->  Graphs -> SOLUTION: ''draw the graph of two equations 2x+y=3 and 3x+2y=1 on same graph find the point of intersection of these points and represent it by equation :) hoping you will help      Log On


   

Question 732266: ''draw the graph of two equations 2x+y=3 and 3x+2y=1 on same graph find the point of intersection of these points and represent it by equation :) hoping you will help
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
first find two pints for each line, plot them and draw graphs:
easiest way is to find x and y-intercept
2x%2By=3
set x=0 and find y-intercept
2%2A0%2By=3
y=3........y-intercept is at (0,3)
set y=0 and find x-intercept
2x%2B0=3
2x=3
x=1.5........x-intercept is at (1.5,0)

and 3x%2B2y=1
set x=0 and find y-intercept
3%2A0%2B2y=1
2y=1
y=1%2F2........y-intercept is at (0,1%2F2)
set y=0 and find x-intercept
3x%2B2%2A0=1
3x=1
x=1%2F3........x-intercept is at (1%2F3,0)
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-%283%2F2%29x%2B1%2F2%2C-2x%2B3%29+
the point of intersection is at (5,-7)