Math Module 2 (Hard) Question 17

In the given system of equations, $b$ is a constant. If the system has no solution, what is the value of $b$?
$$2x+7y=2+y$$
$$x=by+2$$
Answer:
Answer:
-3

Explanation

The correct answer is $-3$.

In order for a linear system of equations to have no solutions, the two linear equations must be parallel, while not overlapping.

✨ Expert's Tip ✨

If the two lines are parallel and have the same $y$-intercepts, there will be infinite number of solutions to the system.

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