Let's determine if the point $(2, 8)$ is a solution to the given system of equations:

1. Equations provided: y = 3x + 2 \tag{1} y = 4x \tag{2}

2. Substitute $x = 2$ and $y = 8$ into each equation:

   • For equation (1): $y = 3x + 2$ $8 = 3(2) + 2$ $8 = 6 + 2$ $8 = 8 \quad \text{(True)}$

   • For equation (2): $y = 4x$ $8 = 4(2)$ $8 = 8 \quad \text{(True)}$

3. Conclusion: Since $(2, 8)$ satisfies both equations, it is a solution to the system of equations.

The correct answer is YES.

Would you like further clarification or a breakdown of the steps?

Here are 5 related questions to practice:

1. What is the solution to the system of equations $y = 2x + 1$ and $y = -x + 4$?
2. How do you determine if a point lies on a single line?
3. What is the graphical interpretation of solving a system of linear equations?
4. Can a system of equations have no solutions? If yes, what does it mean graphically?
5. How do you solve a system of equations algebraically using substitution?

Tip: Always substitute the given point into all equations in a system to check if it satisfies each one.