Question

Question #b1629

Answer 1

`(-8/3, -5/3) , (2, 3)`

Explanation:

`y=x+1` => eq-1
`2x^2+y^2=17` => eq-2
Substitute `x+1` from 1 for `y` in 2:
`2x^2+(x+1)^2=17` => expand:
`2x^2+x^2+2x+1=17` => simplify:
`3x^2+2x-16=0` =>factor by grouping:
`3x^2-6x+8x-16=0`
`3x(x-2)+8(x-2)=0`
`(3x+8)(x-2)=0`
`x=-8/3, 2` => substitute in 1 solve for `y`:
`y=-5/3, 3`