Problema Solution

Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.

7x + 7y = 7

x + 2y = 2

Answer provided by our tutors

Elimination method

7x + 7 y = 7 --> this can be simplified to x + y = 1

Two equations:

x+ y = 1

x + 2y = 2

Subtract the two equations

x + y = 1

-x -2y =-2

X will therefore be eliminated since x-x = 0

we will be left with 

y-2y = -1

-y =-1

y =1

since x+y =1

x = y-1

x = 1-1

x=1

final answer

 

h

y=1

x=0