SOLUTION: Use the method of substitution to solve the system. (Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)
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-> SOLUTION: Use the method of substitution to solve the system. (Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)
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Question 530090: Use the method of substitution to solve the system. (Enter your answer(s) as ordered pair(s). If there is more than one ordered pair, use commas between ordered pairs.)
You can put this solution on YOUR website! Hello,
With this one y2−4x2=19
9y2+16x2=275
Work with the first equation and set it up as:
y2= 4x^2 + 19
Now substitute this into the second equation:
9(4x^2+19)+16x^2=275
Expand this out:
36x^2+171+16x^2=275
Combine like terms and subtract 171 to get:
52x^2=104
Divide by 52 to get:
x^2=2
Square root both sides:
x= +-sq rt 2
Plug this into the original equation to get:
y = +-3 sq rt 3
Make sense?
RJ
www.math-unlock.com
