The given set of equations:
y=-3x+1............(1)
y=2x-4 .............(2)
can be solved most conveniently by rewriting as
y =-3x+1 = 2x-4
We concentrate on the right equality, which is expressed in x only:
-3x+1 = 2x-4
Transpose and solve for x
1+4 = 2x+3x
5x=5
x=5/5=1
Substitute x=1 in the
first equation: y=-3(1)+1=-2
second equation: y=2*x-4=2(1)-4=-2
So the solution is x=1, y=-2, or (1,-2)