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
