# Math Help - Systems of nonlinear equations in two variables

1. ## Systems of nonlinear equations in two variables

Solve the system by the substitution method.

-12x-y=22
y=x^2+10

x+y=8
y=x^2-4x+4

y=x-4
y^2=-16x

x^2+y^2=41
x+y=9

Solve the system by the substitution method.

x^2+y^2=36
x^2-y^2=36

7x^2+y^2=49
7x^2-y^2=49

answer:{(square root 7,0), (negative square root 7,0)}

x^2+y^2=4
4x^2+9y^2=36

x^2-y^2=25
4x^2+25^2=100

2. Originally Posted by soly_sol

Solve the system by the substitution method.

-12x-y=22
y=x^2+10

I assume this is a typo: the second pair is (-4, 26).

Originally Posted by soly_sol
x+y=8
y=x^2-4x+4

y=x-4
y^2=-16x

x^2+y^2=41
x+y=9

Solve the system by the substitution method.

x^2+y^2=36
x^2-y^2=36

7x^2+y^2=49
7x^2-y^2=49

answer:{(square root 7,0), (negative square root 7,0)}

x^2+y^2=4
4x^2+9y^2=36

These are all good. (In the last problem, I presume the second equation is really $4x^2 + 25y^2 = 100$.