Question

What is the solution of the linear-quadratic system of equations? y=x^2+5x-3 y-x=2

Answer 1

-x=-y+2
x=y-2
now substitute iin the first one
y=(y-2)^2+5 (y-2)-3
y=y^2-4y+4 +5y-10-3
y=y^2+y-9
y^2-9=0.
y^2=9
y=3

3-x=2
-x=2-3
-x=-1
x=1

the solution are x=1 and y=3
3=1^2+5 (1)-3
3=1+5-3
3=6-3
3=3

Answer 2

Answer:

Step-by-step explanation:

-x=-y+2

x=y-2

now substitute iin the first one

y=(y-2)^2+5 (y-2)-3

y=y^2-4y+4 +5y-10-3

y=y^2+y-9

y^2-9=0.

y^2=9

y=3

3-x=2

-x=2-3

-x=-1

x=1

the solution are x=1 and y=3

3=1^2+5 (1)-3

3=1+5-3

3=6-3

3=3