Question

Without solving the system of equations how can you

determine if the two systems have the same solution?
3x + 6y = 12
x+y = 7
And
6x +12y = 24
x + y = 7

Answer 1

Explanation:

First Pair.

If you divide the top equation by 3 you get

x + 2y = 12

x + y = 7 From that I get that y = 5

Second pair

Do the same thing to the top equation only this time divide by 6

x + 2y = 4

x + y = 7

If you subtract again you get y = - 3