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What determine from the graphs of a system of two equations in two variables?
The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
What does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
What are equations with same solution called?
There is no special name. Two totally unrelated equations could have the same solution(s).
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
What determine from the graphs of a system of two equations in two variables?
The graphs of a system of two equations in two variables can determine the solutions to the system. If the graphs intersect at a single point, that point represents the unique solution. If the graphs are parallel and do not intersect, the system has no solution (inconsistent). If the graphs coincide, there are infinitely many solutions (dependent).
Can you determine whether a system of two linear equations has one solution an infinite number of solutions or no solution by simply?
Yes, you can determine the nature of a system of two linear equations by analyzing their slopes and intercepts. If the lines represented by the equations have different slopes, the system has one solution (they intersect at a single point). If the lines have the same slope but different intercepts, there is no solution (the lines are parallel). If the lines have the same slope and the same intercept, there are infinitely many solutions (the lines coincide).
What are two equations that have the same solution?
equal equations.
What is the solution of a system of linear equations in two variables?
The solution of a system of linear equations is a pair of values that make both of the equations true.
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
What does the solution represent when a system of equations has a single solution?
The graphs of the two equations have only one intersection point.
How can you determine whether a system has no solutions by graphing?
If you graph the two functions defined by the two equations of the system, and their graphs are two parallel line, then the system has no solution (there is not a point of intersection).
A system of two linear equations has exactly one solution if?
The slopes (gradients) of the two equations are different.
What are equations with same solution called?
There is no special name. Two totally unrelated equations could have the same solution(s).
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
When does a system of linear equations in two variables have a unique or one solution?
simultaneous equations
If you have a system of two equations with two unknowns and the graphs of the two equations are the same the system must have . A. more than 1 solution B. no solution C. at leas?
If the graphs of the two equations in a system are the same, the system must have A. more than 1 solution. This is because the two equations represent the same line, meaning every point on that line is a solution to the system. Therefore, there are infinitely many solutions.
