can somebody help me out? am I doing this right? using the elimination method.

Question

y = 3x + 2
2y-6x=4
We have the solution for y so we use this to solve
2 (3x + 2) – 6x = 4
6x + 4 – 6x = 4
0x +4 = 4
Subtract 4 from both sides
X=0
Now we use 0 for the x value in equation one
Y=3(0) +2
Y=0+2
Y=2
Points (0,2)

Answer 1

y = 3x + 2....(1)
2y-6x=4 ....(2)

If you multiply (1) by 2 and transpose terms, you get equation (2).

This means that there is an infinite sets of solutions based on any value of t:
x=t
y=3t+2
Geometrically the system represents two lines that are coincident, hence an infinite set of solutions.