Question

How do you solve the system `3x-2y=11` and `x-1/2y=4` using substitution?

Answer 1

`(x,y)to(5,2)`

Explanation:

`3x-2y=11to(1)`

`x-1/2y=4to(2)`

`"from "(2)color(white)(x)x=4+1/2yto(3)`

`"substitute "x=4+1/2y" into "(1)`

`3(4+1/2y)-2y=11`

`rArr12+3/2y-2y=11`

`rArr-1/2y=-1`

`rArry=2`

`"substitute this value into "(3)`

`rArrx=4+1=5`

`rArr"point of intersection "=(5,2)`
graph{(y-3/2x+11/2)(y-2x+8)((x-5)^2+(y-2)^2-0.04)=0 [-10, 10, -5, 5]}