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

The values of and that will create a system of linear equations with no solution are and .

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:

(1)

(2)

Where:

- Independent variable.

- Dependent variable.

, - Slope.

, - y-Intercept.

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

1)

2)

Therefore, the values of and that will create a system of linear equations with no solution are and .

a - base

b - exponent

so,

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