Solve for y in 3x - y = 15
Solve for y
3x - y = 15
Subtract 3x from both sides
-y = 15 - 3x
Multiply both sides by -1
y = -15 + 3x
Regroup terms
y = 3x - 15
Now, substitute y = 3x - 15 into 6x - 2y = 30
Start with the original equation
6x - 2y = 30
Let y = 3x - 15
6x - 2(3x - 15) = 30
Simplify
30 = 30
Since 30 = 30 is redundant information, this is a dependent system.
There are Infinitely Many Solutions.