SOLUTION: y=x^2−10 9x^2−y^2=90 solve the system by the substitution method

Algebra.Com
Question 987137: y=x^2−10
9x^2−y^2=90
solve the system by the substitution method

Found 2 solutions by Alan3354, macston:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
y=x^2 - 10
9x^2 - y^2=90
solve the system by the substitution method
--------------
y=x^2 - 10 --> x^2 = y + 10
Sub for x^2 in the 2nd eqn.
9(y + 10) - y^2 = 90
9y - y^2 = 0
y = 0
y = 9
------
Sub for y in any eqn to find x.

Answer by macston(5194)   (Show Source): You can put this solution on YOUR website!
.

Use this to substitute for x^2.
.
Substitute for x^2.






.
For y=0:




.
ANSWER 1: (,)
For other answers, substitute 9 the same way.




RELATED QUESTIONS

Solve the linear system using substitution. x = −7 − 2y Equation 1 y = x... (answered by mananth)
Solve the following system by the substitution method. Check the solution(s).... (answered by josgarithmetic,stanbon)
Solve the system of equations by the substitution method. (If the system is dependent,... (answered by josgarithmetic)
Solve the system of equations by the substitution method. (If the system is dependent,... (answered by MathLover1,MathTherapy)
Solve the system of linear equations using the Gauss-Jordan elimination method. x + y (answered by richwmiller)
Solve the system of equations by substitution. 3x − y = 12 2x − 2y = (answered by Tatiana_Stebko)
A system of equations is given below: y = 4x − 3 2x + 7y = 41 Which of... (answered by math_helper)
Help me solve each system by the substitution method: y=x^2-4x-10... (answered by Alan3354)
solve the system of equations by the substitution method: y=7x+9... (answered by macston)