Question

Someone help me with this word problem please

Answer 1

Therefore,

x = -13 , y = 17 or x = 12 , y = 42

Explanation:

First, you have to form equation in terms of x and y. With the given informations, the equations will be :

`x - y = - 30`

`{x}^(2) + (y + 3) = 189`

Next, you have to solve it by substitution :

`x = - 30 + y - - - (1)`

`{x }^(2) + (y + 3) = 189 - - - (2)`

`(1)→(2)`

`{( - 30 + y)}^(2) + (y + 3) = 189`

`900 - 60y + {y}^(2) + y + 3 = 189`

`{y}^(2) - 59y + 714 = 0`

`(y - 42)(y - 17) = 0`

`y = 17 \: \: or \: \: 42`

`sub \: \: y = 17 \: \: into \: \: (1)`

`x = - 30 + 17 = - 13`

`sub \: \: y = 42 \: into \: \: (1)`

`x = - 30 + 42 = 12`