Question

Will Medal and Fan


How many solutions are there to the following system of equations?

2x + 6y = –12
10x + 32y = –62


0
2
1
infinitely many

Answer 1

First, lets reduce the equations..

2x + 6y = -12 reduces to x + 3y = -6

10x + 32y = -62 reduces to 5x + 12y = - 31

so we have :
x + 3y = -6 --->(-5)
5x + 12y = -31
------------
-5x - 15y = 30 (result of multiplying by -5)
5x + 12y = -31
-------------add
-3y = -1
y = 1/3

I am not going to figure x, because I do not need to.

There is going to be 1 solution

Answer 2

Wow... you are so smart :) Thank you so much, you are very kind.

Answer 3

Ur welcome... Glad I could help u! : )