SOLUTION: The solution to the system of equations 3x+4y=g and 2x +y=h. Is the ordered pair (n,3). Write an expression equal to g+h.

Algebra ->  Systems-of-equations -> SOLUTION: The solution to the system of equations 3x+4y=g and 2x +y=h. Is the ordered pair (n,3). Write an expression equal to g+h.      Log On


   

Question 1063897: The solution to the system of equations 3x+4y=g and 2x +y=h. Is the ordered pair (n,3). Write an expression equal to g+h.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Solution for x and y can first be found for system%283x%2B4y=g%2C2x%2By=h%29 using Elimination Method.

You are given that the intersection is point (n,3). This means, using what you find for x and y of the system

system%28x=n=%284h-g%29%2F5%2C3=%282g-6h%29%2F5%29
Solve this system to find that system%28h=25n%2F2%2Cg=45n%29.

What is g%2Bh?

g%2Bh=45n%2B25n%2F2
90n%2F2%2B25n%2F2
highlight%28115n%2F2%29