SOLUTION: solve algebraically for each system given below x^2-4y^2=16 2y-x=2 show steps please

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Question 931587: solve algebraically for each system given below
x^2-4y^2=16
2y-x=2
show steps please

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
2y-x=2 0r x =
.....
x^2-4y^2=16
(2y-2)^2 - 4y^2 = 16
4y^2 - 8y + 4 - 4y^2 = 16
-8y + 4 = 16
-8y = 12
y = -12/8 = -3/2
x = -5
(-5, -1.5) the solution set for this System


Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!
.....eq.1
.....eq.2
____________________
start with
.....eq.2...solve for
...substitute in eq.1

.....eq.1..solve for







go to eq.1 or eq.2, plug in value of and solve for

.....eq.2



your solution is: and



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