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?

[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]