Question

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?

Answer 1

Its c on eng i think

Explanation:

Answer 2

The cost of a birthday card is $2.2

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