The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
Consistent equations are two or more equations that have the same solution.
Yes you can, if the solution or solutions is/are real. -- Draw the graphs of both equations on the same coordinate space on the same piece of graph paper. -- Any point that's on both graphs, i.e. where they cross, is a solution of the system of equations. -- If both equations are linear, then there can't be more than one such point.
The graph of a system of equations with the same slope will have no solution, unless they have the same y intercept, which would give them infinitely many solutions. Different slopes means that there is one solution.
When you find an answer or a solution, it is called solving a problem. This can be done in a number of ways, and can refer to simple equations, or story problems in reality.
There is no special name. Two totally unrelated equations could have the same solution(s).
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.
They are simultaneous equations
Equivalent equations are equations that have the same solution set.
They are called equivalent systems.
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.
equal equations.
The statement - The graph of a system of equations with the same slope and the same y intercepts will have no solution is True
Equivalent Equations
Matrix inverses and determinants, square and nonsingular, the equations AX = I and XA = I have the same solution, X. This solution is called the inverse of A.
Consistent equations are two or more equations that have the same solution.
They are called simultaneous equations.