SOLUTION: The solution to a system of equations is (4, 6). One equation in the system is 2x+y=14. One term in the other equation is 3x. What could the equation be?

Algebra ->  Graphs -> SOLUTION: The solution to a system of equations is (4, 6). One equation in the system is 2x+y=14. One term in the other equation is 3x. What could the equation be?      Log On


   

Question 1013745: The solution to a system of equations is (4, 6). One equation in the system is 2x+y=14. One term in the other equation is 3x. What could the equation be?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
The two equations have only one point in common and it is given, (4,6). The other equation starts as possible 3x%2BBy=C, and using the known point,
3%2A4%2B6%2AB=C
6B%2B12=C

You can pick any real number you want for B and evaluate the corresponding C. You have infinite solutions for this. As example, if B=-1, then C=6, and one possible equation is 3x-y=6. There are infinitely many possible equations you can choose this way.