Question

Consider this system of linear equations;

Answer 1

Answer:

(A) m = -3 and b = -3

Step-by-step explanation:

EDG 2021

Answer 2

Answer:

The values of $m_{2}$ and $b_{2}$ that will create a system of linear equations with no solution are $m_{2} = -3$ and $b_{2} = -3$.

Step-by-step explanation:

An example of a system of linear equations are two lines parallel to each other. In other words, there are two lines such that:

$y = m_{1}\cdot x + b_{1}$ (1)

$y = m_{2}\cdot x + b_{2}$ (2)

Where:

$x$ - Independent variable.

$y$ - Dependent variable.

$m_{1}$, $m_{2}$ - Slope.

$b_{1}$, $b_{2}$ - y-Intercept.

If both lines are parallel to each other, then we must observe these two conditions:

1) $m_{1} = m_{2}$

2) $b_{1} \ne b_{2}$

Therefore, the values of $m_{2}$ and $b_{2}$ that will create a system of linear equations with no solution are $m_{2} = -3$ and $b_{2} = -3$.