Question

solve systems of equation. equation number 1: 9 x squared + 4 y squared equals 144. equation 2: x squared plus y squared equals 24

Answer 1

`9x^(2) + 4y^(2) =144`

`x^(2) + y^(2)=24`


`9x^(2) + 4y^(2) =144`

`4x^(2) + 4y^(2)=96`
by the difference
5
`x^(2)`=48
so x=
`\sqrt{(48)/(5)}` or x=-
`\sqrt{(48)/(5)}`
and
`y^(2)`=24-
`(48)/(5)`
then y=
`\sqrt{(72)/(5)}` or -
`\sqrt{(48)/(5)}`