Question

which type(s) of equation can have infinite solutions? linear - linear linear - quadratic quadratic - quadratic done

Explanation:

1. linear-linear: A system of two linear equations has infinite solutions when the equations are scalar multiples of each other (they represent the same line), so every point on the line is a solution.
2. linear-quadratic: A linear equation and a quadratic equation can intersect at most 2 times, so they cannot have infinite solutions.
3. quadratic-quadratic: A system of two quadratic equations has infinite solutions when the equations are scalar multiples of each other (they represent the same conic section), so every point on the conic is a solution.

Answer:

• linear-linear
• quadratic-quadratic