SOLUTION: Use the elimination method to solve the system of equations a+9b=22 a+4b=7 A. There is one solution is ____(simplify your answer. Typed an ordered pair) B. There are infini

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Use the elimination method to solve the system of equations a+9b=22 a+4b=7 A. There is one solution is ____(simplify your answer. Typed an ordered pair) B. There are infini      Log On


   



Question 762080: Use the elimination method to solve the system of equations
a+9b=22
a+4b=7
A. There is one solution is ____(simplify your answer. Typed an ordered pair)
B. There are infinitely many solutions
C. There is no solution.

Answer by tanjo3(60) About Me  (Show Source):
You can put this solution on YOUR website!
When you subtract the two equations, you get 5b=15, and then b = 3.
Substituting (b=3) in equation 2, a+12=7, and then a=-5.
Therefore, the solution is (-5,3).