Hi Mackenzie,
Let's keep the equations the same and look at whatever relationship they have.
3x - 6y = 5 and 2y = 4x - 6
Notice how there's 6y in the first equation and in the second, 2y? We can multiply the second equation by 3 to get 6y.
So let's multiply 2y by 3 and similarly, what 2y is equal to by 3:
2y = 4x - 6 → 6y = 12x - 18
Plugging this new equation into our first:
3x - (12x - 18) = 5
We can now solve for x:
3x - 12x + 18 = 5
-9x = -13
x = 13 / 9
To find y, we can use any equation that we are given. In this case, I will use the first one still.
3 (13 / 9) - 6y = 5 (Now we are solving for y.)
13 / 3 - 6y = 5
-6y = 2 / 3
y = -2 / 18 or -1 / 9
Hope this helps!
