Respuesta :
Using linear function concepts, a system of equations with no solutions is created when:
[tex]m = -2, b \neq \frac{3}{2}[/tex]
What is a linear function?
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
The intersection of two lines is the solution of a system of equations. If two lines have the same slope and different intercepts, they will never intercept, that is, the system will not have a solution.
The lines are given as follows:
- y = mx + b.
- y = -2x + 3/2.
Hence, for a system with no solution, we need that:
[tex]m = -2, b \neq \frac{3}{2}[/tex]
More can be learned about linear function concepts at https://brainly.com/question/24808124
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