book Maths Puzzle Numerical Ability

Nancy Tai has recently opened a revolving charge account with MasterCard. Her credit limit is $1000, but she has not charged that much since opening the account. Nancy hasn't had t

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Please help!!
x=1+6 sqrt x-9
Thank you!
How many solution does the linear system have?
1, [x+4y=9
[-2x+y=0
2, [-x+3y=3
[2x-6y=30
3, [-x+2y=16
[4x-8y=-64
Decide whether the ordered pair is a sol