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Package A contains 3 birthday cards and 2 thank-you notes and costs $9.60 Package B contains 8 birthday cards and 6
thank you notes and costs $26.60. If x represents the cost of a birthday card and y represents the cost of a thank-you note,
how much does each birthday card cost?

Package A contains 3 birthday cards and 2 thankyou notes and costs 960 Package B contains 8 birthday cards and 6 thank you notes and costs 2660 If x represents class=

Respuesta :

calculista

Answer:

The cost of a birthday card  is $2.2

Step-by-step explanation:

Let

x-----> represents the cost of a birthday card

y ----> represents the cost of a thank-you note

we know that

Package A

3x+2y=9.60  

2y=9.60-3x

Multiply by 3 both sides

3(2y)=3(9.60-3x)

6y=28.80-9x -----> equation A

Package B

8x+6y=26.60 -----> equation B

Solve the system by substitution

Substitute equation A in equation B and solve for x

8x+(28.80-9x)=26.60  

9x-8x=28.80-26.60

x=2.2

Find the value of y (equation A)

6y=28.80-9x  

substitute the value of x and solve for y

6y=28.80-9(2.2)

6y=9

y=1.5

The solution is the point (2.2,1.5)

therefore

The cost of a birthday card  is $2.2

Answer:

Its c on eng i think

Step-by-step explanation:

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