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Brainliest if you show all work, THE ABC SHIPPING COMPANY CHARGES $14 PLUS $2 A POUND TO SHip AN OVERNIGHT PACKAGE. THE XYZ COMPANY CHARGES $20 PLUS $1.50 A POUND RO SHIP AN OVERNIGHT PACKAGE. FOR WHAT WEIGHT IS THE CHARGE THE SAME FOR THE TWO COMPANIES?

Sagot :

Answer:

12 lbs

Step-by-step explanation:

14+2x=20+1.5x

2x=6+1.5x

0.5x=6

x=12

Answer:

12 pounds

Step-by-step explanation:

I will name variables for equation:

y = total cost

x = per pound

ABC company:

y = 2x + 14

XYZ Company:

y = 1.5x + 20

Because we're trying to find the weight (variable: x), we are going to cancel out the y variables:

Work:

y = 2x + 14

y = 1.5x + 20

y = 2x + 14

-y = -1.5x - 20

0 = 0.5x - 6

0.5x = 6

x = 6/0.5

x = 12

When the weight is 12 pounds, the costs will be equal

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