Answer:
Can't be answered, as written.
Explanation:
Please check the equations. As written, they are the same:
y=2x-4 and 6x-3y=12
The second, 6x-3y=12, can be rewritten:
-3y = -6x + 12
y = 2x - 4 is the same as the first equation.
========
I'll do an example based on a different first equation. Let's try:
y = 4x-4 and 6x-3y=12
There are two equations and 2 unknowns. We can solve this in either of two ways: Mathematically and Graphically. Let's try both.
Mathematically.
Pick either equation and isolate one of the variables (x or y)
I'll chose the first, since the variable y is already isolated. (the efficient approach)
y = 4x-4
Take the second equation and use the definition of y provided by the first equation in place of y is the second:
6x-3y = 12
6x-3(4x-4) = 12 [Substituted the value of y given in the first equation]
6x - 12x + 12 = 12
-6x=0
x= 0
Use x = 0 in either equation to find y:
y = 4x-4
y=4*(0)-4
y = -4
The solution (where the lines intersect) is (0,-4)
We can also solve this graphically.
Plot the two lines and look for their intersection. The attached graph shows that to be (0,-4).