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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 is the solution of 3x plus 7y-c equals?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
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
What is the solution of 3x plus 7y-c equals?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
What system of equations has no solution?
A system of equations will have no solutions if the line they represent are parallel. Remember that the solution of a system of equations is physically represented by the intersection point of the two lines. If the lines don't intersect (parallel) then there can be no solution.
What is the answer to The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?
To find the x-value where the two equations are approximately equal between -2 and -1.5, you would typically evaluate the two equations at various points in that range. By checking values or using methods such as graphing or numerical approximation (like the bisection method), you can determine the specific x-value where the equations intersect. Without specific equations provided, it's impossible to give an exact answer, but the solution lies in that interval.
