Question

Package A contains 3 birthday cards and 2 thank you notes and costs $18. Package B contains 8 birthday cards and 6 thank you notes and costs $50. 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

3x+2y=18
8x+6y=50
2y=18-3x
Y=9-3/2x
8x+6 (9-3/2x)=50
8x+54-9x=50
-x+54=50
X=4
Y=9-3/2 (4)
Y=9-6
Y=3