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What are equations with same solution called?
There is no special name. Two totally unrelated equations could have the same solution(s).
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
How could you show that two equations aren't equivalent?
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
A definition of a solution to a system of equations?
A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
Does every pair of linear simultaneous equations have a unique solution?
So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.
What are two equations that have the same solution?
equal equations.
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.
How can you tell that an equation has the same solution as the original equation?
If the two equations are linear transformations of one another they have the same solution.
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.
How could you show that two equations aren't equivalent?
One way would be to solve the two equations. If they have exactly the same solution set, they are equivalent. Otherwise they are not.
A definition of a solution to a system of equations?
A system of equations is a set of two or more equations with the same variables, graphed in the same coordinate plane
Two or more equations with the same solution?
2x + 3 = 7 and x = 2 3y - 5 = 7 and y = 4
Examples of nonlinear equations?
y=x2 and y=lnx are two examples of nonlinear 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.
Does every pair of linear simultaneous equations have a unique solution?
So, take the case of two parallel lines, there is no solution at all. Now look at two equations that represent the same line, they have an infinite number of solutions. The solution is unique if and only if there is a single point of intersection. That point is the solution.
What is true about a system of two linear equations that has no solution?
The two equations represent parallel lines.
