Question

How do you solve `x = 2y - 2` and `3x - y = 14` using substitution?

Answer 1

`(x,y)to(6,4)`

Explanation:

`x=2y-2to(1)`

`3x-y=14to(2)`

`"equation "(1)" expresses x in terms of y"`

`color(blue)"Substitute "x=2y-2" into equation "(2)`

`rArr3(2y-2)-y=14`

`rArr6y-6-y=14`

`rArr5y-6=14`

`"add "6" to both sides"`

`rArr5y=20rArry=20/5=4`

`"substitute "y=4" into equation "(1)`

`rArrx=(2xx4)-2=6`

`"the point of intersection of the 2 equations "=(6,4)`
graph{(y-1/2x-1)(y-3x+14)((x-6)^2+(y-4)^2-0.04)=0 [-10, 10, -5, 5]}