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dybincka [34]
3 years ago
5

Bank tellers earn a weekly

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0

Answer:

2000 dollars

Step-by-step explanation:

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Solve the system of equations algebraically: x^2 +y^2 =25, y=x^2 +3
aalyn [17]

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{ \tt{ {x}^{2} +  {y}^{2}  = 25 -  -  -  \{eqn(a) \}}} \\ { \tt{y =  {x}^{2} + 3 -  -  -  \{eqn(b) \} }}

» substitute y in eqn(a) with y in eqn(b)

{ \tt{ {x}^{2} + ( {x}^{2}  + 3) {}^{2}   = 25}}  \\ { \tt{ {x}^{2}  + ( {x}^{2}  + 6x + 9) = 25}} \\ { \tt{2 {x}^{2} + 6x + 9 = 25 }} \\ { \tt{2 {x}^{2}  + 6x - 16 = 0}} \\ { \tt{x = 1.7 \:  \: and \:  \:  - 4.7}}

» Find y in eqn(b)

{ \tt{y =  {x}^{2} + 3 }} \\ { \tt{y = 5.89 \:  \: and \:  \: 25.09}}

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