Question

Kate bought 6 CDs and 2 DVD for $56.

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Jake bought 3 CDs and 3 DVDs for $48.
If x is the cost of a CD and y is the cost of a DVD... Write the
equations for what Kate spent and what Jake spent in the
form 44x+55y=66 with no extra spaces.
Kate's Equation is:
Jake's Equation is:

Solve the system of equations.

Answer 1

Kate: 6x+2y=56

Jake: 3x+3y=48

Explanation:

Answer 2

Explanation:

Let cd price x; dvd price y

3x+y=20

2x+2y= 22

from the first equation, y= 20-3x

substitute y in the second equation, 2x+2(20-3x)= 22, simplify -4x= -18, x= 4.5 and y= 6

Therefore, cd: $4.50 and dvd: $6.50