SOLUTION: the equation of a straight line is 3x+ 2y =5. Given that the point (k,4) lies on the line, find the value of k.

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: the equation of a straight line is 3x+ 2y =5. Given that the point (k,4) lies on the line, find the value of k.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 205483: the equation of a straight line is 3x+ 2y =5. Given that the point (k,4) lies on the line, find the value of k.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3x+ 2y =5
2y=-3x+5
y=-3x/2+5/2
y=-3x/2+2.5
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-3x%2F2+%2B2.5%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, -3x/2 +2.5).
(k,4)
3k+2*4=5
3k+8=5
3k=5-8
3k=-3
k=-3/3
k=-1 ans. (-1,4)
Proof:
3*-1+2*4=5
-3+8=5
5=5