solve the simultaneous equations:

Question

y=x-2
ysquared+xsquared=10

Answer 1

y = x - 2

y ^ 2 + x ^ 2 =10

( x - 2 ) ^ 2 + x ^ 2 = 10

x ^ 2 - 2 * 2 x + 2 ^ 2 + x ^ 2 = 10

2 x ^ 2 - 4 x + 4 = 10

2 x ^ 2 - 4 x + 4 - 10 = 0

2 x ^ 2 - 4 x - 6 = 0

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2 x ^ 2 - 4 x - 6 = 0

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The solutions are:

x = - 1

and

x = 3

For x = -1

y = x - 2 = -1 - 2 = -3

For x = 3

y = x - 2 = 3 - 2 = 1

So the solutios are :

x = -1 , y = -3

and

x = 3 , y = 1