Question

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?
m = -3 and b = -3
m = 5 and b = -3
m = 3 and b = 5
m = -3 and b = 5

Answer 1

m=-3 and b=-3 on ed

Explanation:

just did it

Answer 2

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`.

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) \\e 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`.