How do you solve this system of equations: #-2x + y = - 4 ; - 6x + 3y = - 12#?

1 Answer

The solutions to this system of equations are the points on the line #y = 2x-4#.

Explanation:

Note that the second equation is the first one multiplied by #3#, therefore, the system can be reduced to only one of them.

We can rewrite the first one as #y = 2x-4# and, as there are no more restrictions to the problem, any pair #(x,y)# that satisfies the equation is a solution to the system.

Hope it helps.