Use Cramer's Rule to solve 2x + \(y=5\) and x + 3y = 7.

Use Cramer's Rule to solve x + \(y=4\) and x - \(y=2\).

For the system ax + \(by=e\) and cx + \(dy=f\), state the Cramer's Rule formula for x and y.

Can Cramer's Rule be used directly if the coefficient determinant is 0? Explain.

Use Cramer's Rule to solve 3x + 2y = 7 and x - \(y=1\).

Use Cramer's Rule to find only x for 4x - \(y=6\) and 2x + 3y = 8.

For a \(3\times 3\) system with coefficient determinant 5, the determinant formed by replacing column 2 with the constants is -10. What is y by Cramer's Rule?

Use Cramer's Rule to solve x + 2y = 0 and 3x + 4y = 2.

Explain why row reduction is usually preferred over Cramer's Rule for large systems.

A learner replaces the wrong column when using Cramer's Rule to find y. Diagnose the error for a \(2\times 2\) system.