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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.
Solving the system of equations by graphing?
Graph both equations on the same graph. Where they intersect is the solution to the system of 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.
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.
Two or more equations with the same solution?
equivalent equations
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.
Solving the system of equations by graphing?
Graph both equations on the same graph. Where they intersect is the solution to the system of 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.
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.
