Question

How many solutions are there to the following system of equations?
3x + 7y = –10
15x + 35y = –45


0
1
2
infinitely many

Answer 1

0. the equations are inconsistent.

Answer 2

15x + 35y = -45 reduces to 3x + 7y = - 9

so we have :
3x + 7y = -9 --->(-1)
3x + 7y = -10
-------------
-3x - 7y = 9 (result of multiplying by -1)
3x + 7y = -10
-------------add
0 = -1 (incorrect)

This system of equations has NO SOLUTIONS...or 0

Answer 3

thanks that was conformation