Geometry...Please help as soon as possible please and Thank you so much!
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Correct option is C)
On putting x=2y+5 in second equation, we get
y=(4y+7)(2y+14)
⇒8y 2 +70y+98=y
⇒8y 2+69y+98=0
Discriminant D=69 2−4(8)(98)=1625>0
Hence, the equation has 2 real roots.
Therefore, there are 2 ordered pair.
Option C is correct.
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The cost of one adult ticket is $12 and cost of one child ticket is $8.
Step-by-step explanation:
Let,
Cost of one adult ticket = x
Cost of one child ticket = y
According to given statement;
x+4y=44 Eqn 1
5x+2y=76 Eqn 2
Multiplying Eqn 1 by 5
Subtracting Eqn 2 from Eqn 3
Dividing both sides by 18
Putting y=8 in Eqn 1
The cost of one adult ticket is $12 and cost of one child ticket is $8.
Keywords: linear equation, elimination method
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