SOLUTION: solve algebraically x^2-4y^2=16 2y-x=2

Question 931593: solve algebraically
x^2-4y^2=16
2y-x=2
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve algebraically
x^2-4y^2=16
2y-x=2
--------------
x = 2y-2
---
Substitute for "x" and solve for "y":
(2y-2)^2 - 4y^2 = 16
4y^2 - 8y + 4 - 4y^2 = 16
8y = 4-16
8y = -12
y = -3/2
-----
Solve for "x":
x = 2y-2
x = 2(-3/2)-2
x = -5
-----------
Cheers,
Stan H.
------------
RELATED QUESTIONS
solve algebraically x^2-4y^2=16 2y-x=2 please show steps, thank... (answered by ewatrrr)

solve algebraically for each system given below x^2-4y^2=16 2y-x=2 show steps... (answered by ewatrrr,MathLover1)

I need to solve algebraically, then graph. Should I solve by elimination or... (answered by elektrisitee,Earlsdon)

how can i solve: x^2+4y^2=25 x+2y=7 substitution or elimination by solving... (answered by MathTherapy)

x=-2y... (answered by drj)

Can you solve y^2-2y-8x-16=0 and x^2+4y^2-8y=4? (answered by jsmallt9)

Systems of Linear Equations : Solve Algebraically 2x^2+y^2=17... (answered by checkley79)

Solve the system algebraically. { x^2 + 4y + 2x = 11 y = x +... (answered by josgarithmetic)

solve this system of equations algebraically : x^2+y^2=25,... (answered by hello_me)