Question

Solve this system of equation algebracally y+x=19-x2 x+y=80

Answer 1

The answer is y = 80±
`√(61) i` and x = ±
`√(61) i`

Explanation:

We need to solve this system of equations algebraically

y + x = 19 -
`x^(2)` ..............................................(1)

x+y = 80 ...............................................................................(2)

Substituting equation (2) in equation (1)

80 = 19 -
`x^(2)`

-61 =
`x^(2)`

x = ±
`√(61) i`

Where i is the imaginary

Then the value of y = 80±
`√(61) i`

This is the solution to this system of equations