A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2

Question

4 years ago

13

A system of two equations contains one quadratic equation and one linear equation. the quadratic system of the equation is y=x^2

+5x-9. the solutions of the system are (3,15) and (-1,-13). what is the linear equation in the system?
Help if you don't mind!

Mathematics

1 answer:

ruslelena [56] · Answer 1 · 2022-01-12T13:15:44+03:00

ruslelena [56]4 years ago

7 0

Suppose the line is y=mx+b
when x=3, y=15, so 15=3m+b
when x=-1, y=-13, so -13=-m+b
solve the system of these two equation, you get m=7, b=-6
so the linear equation is y=7x-6