What we should know is x= 6y-2. y=4x+20
Plug them in, and you get:
y= 4 (6y-2) + 20 , x= 6 (4x+20)-2.
y= 24y-8+20, x=24x+120-2
y=24y+12, x=24x+118
y-24y=24y+12-24y (subtract 24y both sides) to cancell out the coefficient 24y and you should be left with -23y=12, having 24 y cancelled and y-24y=-23y.
Then, divide both sides by -23 to isolate the variable, y. You should get -12/23 as the vertice, y.
For x, where we left off with x=24x+118, flip the equation. 24x+118=x Then add -118 on both sides to balance the equation out. Then, after resulting in 24x=y-118 (because adding negative 118 cancells out its positive, and y+-118 is y-118) isolate the variable by dividing the coefficient 24x by its constant-part, 24, on both sides to satisy the equation. The answer is or should be x=1/24y+ -59/12 . I hope this really helps. If you need any other algebra help, I recommend mathpapa.com or symbolab to help you simplify equations with just a series of steps to take. Again, I hope for the best! :)
