Mathematics
07.02.2020 14:32
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Yy =6x−30 =x 2 −18x+114 if (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis

Yy =6x−30 =x 2 −18x+114 if (a,b)(a,b)left parenthesis, a, comma, b, right parenthesis is the solution to the system of equations shown above, what is the value of bbb?
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crystal271
crystal271
5,0(20 marks)
For this case we have the following system of equations:
 y = 6x - 30

y = x ^ 2 - 18x + 114
 Equaling both equations we have:
 x ^ 2 - 18x + 114 = 6x - 30

 From here, we rewrite the polynomial:
 x ^ 2 - 18x + 114 - 6x + 30 = 0

 Adding similar terms we have:
 x ^ 2 - 24x + 144 = 0

 Factoring we have:
 (x-12) (x-12) = 0

 Therefore, the solution is:
 x = 12 (multiplicity 2)
 Substituting the value of x in any of the equations we find the value of y:
 y = 6 (12) - 30

y = 72 - 30

y = 42
 Therefore, the ordered pair solution is:
 (a, b) = (12, 42)

 
 the value of b is:
 b = 42
BigI80531
BigI80531
5,0(76 marks)
Dm for the answer can’t do it right now

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