Question

20,786 Learners found this answer helpful

how many solutions does the system of equations below have?
$y=-5x - 4$
$y=-5x - 4$
no solution
one solution
infinitely many solutions

Explanation:

Step1: Analyze the system

The two equations $y = - 5x - 4$ and $y=-5x - 4$ are identical.

Step2: Recall solution - type rule

For a system of linear equations $y = m_1x + b_1$ and $y=m_2x + b_2$, when $m_1=m_2$ and $b_1 = b_2$, the two lines are the same.

Step3: Determine number of solutions

Since the two lines are the same, every point on the line is a solution. So there are infinitely many solutions.

Answer:

infinitely many solutions