Solve the simultaneous equations y^2=x^2-9 and y= x-1 .

Expert Answers

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We have to solve the equations:

y^2 = x^2 - 9 ...(1)

y = x - 1 ...(2)

From (2) we get

y = x - 1

=> y^2 = (x - 1)^2

substitute in (1)

(x - 1)^2 = x^2 - 9

=> x^2 + 1 - 2x = x^2 - 9

=> -2x = -10

=> x = 5

y = x - 1

=> y = 4

The required solution is x = 5 and y = 4

Approved by eNotes Editorial Team
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