Question

And an electronics warehouse ships TVs and DVD players to retailers all throughout the United States. The weight of three televisions and five DVD players is 62.5 pounds. The weight of three televisions and two DVD players is 52 pounds. How much does one DVD player and one TV weight.
Define your variables
Write your two equations
Solve

Answer 1

X= weight of TV
y= weight of CD

3x+5y= 62.5
3x+ 2y= 52
You can either solve for a variable, or eliminate a variable by subtracting the second equation from the first:

3x + 5y = 62.5
-(3x+2y = 52)
0 + 3y = 10.5, so y = 10.5/3 or 3.5.

Now plug y= 3.5 back into any equation to get x:

3x + 5(3.5) = 62.5
3x + 17.5 = 62.5
3x = 45
x = 15
Always check work. Both equations should be true for x=15, y= 3.5