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A larger number is 2 more than 4 times a smaller number. The larger number is also 8 more than 2 times the smaller number. y = 4x+2, y = 2x+8 What is the value of the smaller number in the mathematical problem?

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[tex]Smaller\ number: x\\\\ \left \{ {{y=4x+2} \atop {y=2x+8}} \right. \\\\4x+2=2x+8\\\\4x-2x=8-2\\\\2x=6\\\\x=\frac{6}{2}\\\\\boxed{x=3}[/tex]

The value of the smaller number is 3.

Given that,

  • A larger number is 2 more than 4 times a smaller number.
  • The larger number is also 8 more than 2 times the smaller number.
  • y = 4x+2, y = 2x+8.

Based on the above information, the calculation is as follows:

4x + 2 = 2x + 8

2x = 6

x = 3

Therefore we can conclude that The value of the smaller number is 3.

Learn more: brainly.com/question/6201432