Question

How many possible number of solutions does this equation have?

x + 3y = 2
2x + 6y = -3

Answer 1

can you multiply the first equation by 2 (that means both sides, all terms) ?

Answer 2

no...

Answer 3

multiply each term: the x, the 3y and the 2 (on the other side of the =) by 2
to make a new equation

Answer 4

you should get
2x+6y= 4

Answer 5

now you have two equations
2x+6y= 4
2x + 6y = -3

notice that 2x+6y has to be 4 and *at the same time* -3

Answer 6

or if you subtract the two equations, you get
0 = 4-(-3) or
0 = 7

which is not true. That is a hint there is no solution

Answer 7

perfect, i understand it now. thanks (: