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It is not clear what the question requires. Yes, there are plenty of equations that have the same solution. For example,
each and every equation of direct proportionality has the solution (0, 0). So what?
every polynomial of the form
y = anxn + an-1xn-1 + ... + a1x + a0 has the solution (0, a0). Again, so what?
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What are two equations that have the same solution?
equal equations.
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
Does every pair of linear simultaneous equations have a solution?
Actually not. Two linear equations have either one solution, no solution, or many solutions, all depends on the slope of the equations and their intercepts. If the two lines have different slopes, then there will be only one solution. If they have the same slope and the same intercept, then these two lines are dependent and there will be many solutions (infinite solutions). When the lines have the same slope but they have different intercept, then there will be no point of intersection and hence, they do not have a solution.
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 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.
Equations that have the same solution are called?
Equivalent equations
What do you call equations that have the same solution?
They are simultaneous equations
What are equivalant equations?
Equivalent equations are equations that have the same solution set.
What are equations with same solution called?
There is no special name. Two totally unrelated equations could have the same solution(s).
What are two equations that have the same solution?
equal equations.
The graph of a system of equations with the same slope and the same y intercepts will have no solution?
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
What equations that same solution set over a given domain?
Equivalent Equations
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
What are equations with the same solution?
Equations with the same solution are called dependent equations, which are equations that represent the same line; therefore every point on the line of a dependent equation represents a solution. Since there is an infinite number of points on a line, there is an infinite number of simultaneous solutions. For example, 2x + y = 8 4x + 2y = 16 These equations are dependent. Since they represent the same line, all points that satisfy either of the equations are solutions of the system. A system of linear equations is consistent if there is only one solution for the system. A system of linear equations is inconsistent if it does not have any solutions.
If a system has many solutions what kind of system of equations is it?
Coincidental equations are really the same and are the same line. They have infinite solutions meaning that any solution for one will be a solution for the other.
How do you know if a system has one solution?
If the equations or inequalities have the same slope, they have no solution or infinite solutions. If the equations/inequalities have different slopes, the system has only one solution.
What is a set of equations in the same variables?
It is a set of equations, which is also called a system of equations. There may be no solution, a single (unique) solution or more than one - including infinitely many.
