- #1
MadmanMurray
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Crazy Simultaneous Equation ?!?
Solve for x and y
1)2x - 3y = 1
2)x2 - 2xy - 3y2 = -3
I substituted the linear equation into the quadratic and got a quadratic with only y in it:
3.) 15y2 - 2y = 13
I then substituted the linear into eq3 and got a quadratic with only x in it:
4.) 5x2 - 6x = 9
Do I need substitute that linear into these quadratics twice more so I get 2 simultaneous quadratics with only x in them and 2 quadratics with only y in them?
I've been on this question for about half an hour now but this is a sample question from a test so there's no way I could spend that long on a single question on a test. I must be doing it wrong.
Homework Statement
Solve for x and y
1)2x - 3y = 1
2)x2 - 2xy - 3y2 = -3
Homework Equations
The Attempt at a Solution
I substituted the linear equation into the quadratic and got a quadratic with only y in it:
3.) 15y2 - 2y = 13
I then substituted the linear into eq3 and got a quadratic with only x in it:
4.) 5x2 - 6x = 9
Do I need substitute that linear into these quadratics twice more so I get 2 simultaneous quadratics with only x in them and 2 quadratics with only y in them?
I've been on this question for about half an hour now but this is a sample question from a test so there's no way I could spend that long on a single question on a test. I must be doing it wrong.
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