I can assist in solving the problems from the image you provided. Let’s begin with the first problem and proceed step by step.

1. Problem 1:

$\frac{3x^2 - y}{6x - 2y} = 3$

Solution:

Multiply both sides by $(6x - 2y)$ to eliminate the denominator: $3x^2 - y = 3(6x - 2y)$ Simplify the right-hand side: $3x^2 - y = 18x - 6y$ Move all terms to one side: $3x^2 - 18x + 5y = 0$ This is the simplified form of the equation.

Would you like me to continue solving the next questions, or do you have any questions so far?

Additional Questions:

1. How would you solve $5x^2 - 4y = 0$?
2. What is the general form of a quadratic equation?
3. How do you simplify rational expressions?
4. What are common methods for solving logarithmic equations?
5. What steps do you use to simplify surds like $\sqrt{12}$?

Tip:

When solving equations involving fractions, always start by clearing the denominator by multiplying both sides by the least common multiple.