consider this system of linear equations: y = -3x + 5 y = mx + b which values of m and b will create a…

consider this system of linear equations: y = -3x + 5 y = mx + b which values of m and b will create a system of linear equations with no solution? o m = -3 and b = -3 o m = 5 and b = -3 o m = 3 and b = 5 o m = -3 and b = 5

consider this system of linear equations: y = -3x + 5 y = mx + b which values of m and b will create a system of linear equations with no solution? o m = -3 and b = -3 o m = 5 and b = -3 o m = 3 and b = 5 o m = -3 and b = 5

Answer

Answer:

A. $m = - 3$ and $b=-3$

Explanation:

Step1: Recall condition for no - solution

Two linear equations $y = m_1x + b_1$ and $y=m_2x + b_2$ have no solution when $m_1=m_2$ and $b_1\neq b_2$.

Step2: Identify coefficients

For $y=-3x + 5$ and $y = mx + b$, we need $m=-3$ (equal slopes) and $b\neq5$ (different y - intercepts). Among the options, when $m=-3$ and $b = - 3$, the system has no solution.