Simultaneous equations unique, infinite solutions
hello all, frantic rush to get all the h/w done before school starts again lol.
here it is i have absolutely no idea what i am suppose to do here, the book provides little to no help at all.
This is the example they give which i need help figuring out as well as the actual problem.
Consider the simultaneous linear equations
(m-2)x + y = 2 and mx+2y = k
Find the values of m and k such that the system of equations has
a) a unique solution
b) no solution
c) infinitely many solutions
Now for the question......
Find the value of m for which the simultaneous equations
(m+3)x +my = 12
(m-1)x + (m-3)y = 7
have no solution.
i no that when they want the equations to have no solutions it means the lines are parallel and when the infinite solutions they are the same line however i have no idea what to do about it.