Question
Lesson 13 one solution no solution or many solutions
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GPT 3.5
A linear equation can have one solution, no solution, or many solutions depending on the relationship between the variables and constants in the equation.
One Solution: A linear equation has one solution when there is only one unique point where the graph of the equation intersects the x and y axes. This means that the equation represents a line on a graph that passes through one specific point.
No Solution: A linear equation has no solution when the graph of the equation is parallel to the x or y axes and does not intersect the other axis. This means that there is no point where the values of x and y satisfy the equation.
Many Solutions: A linear equation has many solutions when the graph of the equation is a straight line that overlaps with the x and y axes. This means that there are multiple points where the values of x and y satisfy the equation.
In summary, a linear equation can have one solution, no solution, or many solutions depending on the relationship between the variables and constants in the equation and how it is graphed.
One Solution: A linear equation has one solution when there is only one unique point where the graph of the equation intersects the x and y axes. This means that the equation represents a line on a graph that passes through one specific point.
No Solution: A linear equation has no solution when the graph of the equation is parallel to the x or y axes and does not intersect the other axis. This means that there is no point where the values of x and y satisfy the equation.
Many Solutions: A linear equation has many solutions when the graph of the equation is a straight line that overlaps with the x and y axes. This means that there are multiple points where the values of x and y satisfy the equation.
In summary, a linear equation can have one solution, no solution, or many solutions depending on the relationship between the variables and constants in the equation and how it is graphed.