SOLUTION: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 2x + 10y = 58 -14x + 8y = 140

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. 2x + 10y = 58 -14x + 8y = 140       Log On


   



Question 545855: Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
2x + 10y = 58
-14x + 8y = 140

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
2 x + 10 y = 58 .............1
-14 x + 8 y = 140 .............2
Eliminate y
multiply (1)by 4
Multiply (2) by -5
8 x 40 y = 232
70 x + -40 y = -700
Add the two equations
78 x= -468
/ 78
x = -6
plug value of x in (1)
2 x + 10 y = 58
-12 + 10 y = 58
10 y = 58 + 12
10 y = 70
y = 7