Question

Solve the following system.

y=x^2-9x+10 and x+y+5=0
Enter the solution with the smaller x valve first

Answer 1

The solutions are (3,-8) and (5,-10)

Explanation:

we have

`y=x^(2)-9x+10` ----> equation A

This is a vertical parabola open upward (leading coefficient is positive)

`x+y+5=0` ----> equation B

This is the equation of a line with negative slope (decreasing function)

Solve the system by graphing

Remember that the solution of the system is the intersection point both graphs

using a graphing tool

The solutions are (3,-8) and (5,-10)

see the attached figure