SOLUTION: Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weight 48 pounds. Three boxes of gaming machines and five box

Question 1089294: Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weight 48 pounds. Three boxes of gaming machines and five boxes of DVDs weight 72 pounds. How much does each box weigh? Now I got put this in a these following steps
To write a system of equations follow these steps.
Step 1. Read the problem carefully.
Step 2. Identify key words and draw a picture to help you visualize the problem.
Step 3. Define two unknown variables.
Step 4. Write a system of equations.
Then I have use substitution and/or addition to figure it out I know I have to use x = Boxes of DVD's y = gaming machine boxes
x + 3y = 48 and 5x + 3y = 72 now this gets tricky
3(x + 3y) = 48
3x + 3y = 48
But this does not look right What am I doing wrong

Answer by ikleyn(52803) (Show Source): You can put this solution on YOUR website!
.

3x +  y = 48     (1)    (x is the weight of the box of gaming machines)
3x + 5y = 72     (2)    (y is the weight of the box of DVDs)
-------------------------

Subtract equation (1) from equation (2) (both sides). You will get

4y = 72 - 48 = 24  ====>  y =  = 6.

Thus the the weight of the box of DVDs is 6 pounds.


From this point, can you complete the solution on your own ?

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