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9966 [12]
3 years ago
15

For which independent value do the equations generate the same dependent value?

Mathematics
1 answer:
otez555 [7]3 years ago
8 0

Answer:

For the independent value of 2, the equations generate the same dependent value ⇒ A

Step-by-step explanation:

In the linear equation y = m x + b

  • x is the independent variable
  • y is the dependent variable

∵ y1 = 6x - 16

∵ y2 = 3x - 10

∵ x is the independent value

∵ y is the dependent value

∵ The two equations have same dependent value

→ Same dependent value means equate y1 and y2

∴ y1 = y2

→ Equate their right sides

∴ 6x - 16 = 3x - 10

→ Subtract 3x from both sides

∵ 6x - 3x - 16 = 3x - 3x - 10

∴ 3x - 16 = -10

→ Add 16 to both sides

∵ 3x - 16 + 16 = -10 + 16

∴ 3x = 6

→ Divide both sides by 3

∴ x = 2

∴ For the independent value of 2 the equations generate the same

   dependent value

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Hello from MrBillDoesMath!

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