SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 5x + 5y = 50 10x + 6y = 84

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 5x + 5y = 50 10x + 6y = 84      Log On


   

Question 461160: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
5x + 5y = 50
10x + 6y = 84
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
5 x + 5 y = 50 .............1
10 x + 6 y = 84 .............2

multiply (1)by -6
Multiply (2) by 5
-30 x -30 y = -300
50 x 30 y = 420
Add the two equations
20 x = 120
/ 20
x = 6
plug value of x in (1)
5 x + 5 y = 50
30 + 5 y = 50
5 y = 50 -30
5 y = 20
y=4