an electronics warehouse ships televisions and DVD players in certain combinations to retailers throughout the country. The weight of 4 Televisions and 6 DVD players is 70 pounds, and the weight of 2 televisions and 5 DVD players is 37 pounds. Let represent the amount of pounds per TV and represent the amount of pounds per DVD. How much did each television and DVD player weigh?

d = 1

t = 16

Step-by-step explanation:

Television = t

DVD = d

4t + 6d = 70

2t + 5d = 37

2t + 5d = 37

2t = 37 - 5d

2t/2 = 37/2 - 5d/2

t = 18.5 - 5/2d

4t + 6d = 70

4(18.5 - 5/2d) + 6d = 70

74 - 10d + 6d = 70

-4d = -74 + 70

-4d = -4

-4d/-4 = -4/-4

d = 1

2t + 5d = 37

2t + 5(1) = 37

2t + 5 = 37

2t = 37 - 5

2t = 32

2t/2 = 32/2

t = 16

Check: d = 1; t = 16

4t + 6d = 70

4(16) + 6(1) = 70

64 + 6 = 70

70 = 70

2t + 5d = 37

2(16) + 5(1) = 37

32 + 5 = 37

37 = 37

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step-by-step explanation: