Posted by Chuck on Wednesday, April 20, 2011 at 11:06am.
Eq1: X^2 + 4Y^2 = 25.
Eq2: Y^2 - X = 1.
Y^2 = X + 1.
In Eq1, substitute
Eq1: X^2 + 4Y^2 = 25.
Eq2: Y^2 - X = 1.
Y^2 = X + 1.
In Eq1, substitute X+1 for Y^2:
X^2 + 4(X+1) = 25,
X^2 + 4X + 4 = 25,
(X+2)^2 = 25,
Take sqrt of both sides:
X+2 = +-5,
X = X = 5-2 = 3.
X = -5-2 = -7.
Solution set: (3,+-2), (-7,+-sqrt6i).
Related Questions
algebra - i need help with these problems (either a solution or how to plug them...
math - can someone check this i'm really lost i thought i had it and now i ...
Algebra 2 - I need help with this problem because I do not have a graphing ...
Algebra 1B--check - Solve for y in the following system of equations. x + 4y...
Algebra 1B-- - Solve the following system of inequalities by graphing. 5x - 4y &...
algebra - solve the systems of equations by graphing 2x-y=1 8x-4y=+8
Algebra - Solve each system graphically. 4y = x + 8 3x - 2y = 6 Basically, what ...
algebra - I AM TRYING TO SOLVE A SYSTEM OF EQUATIONS BY GRAPHING AND CAN GET ...
Algebra 2 - I need help with this problem because I do not have a graphing ...
algebra - Solve the following system of equations x+4y=3(1) x=6-4y (2)
For Further Reading