Equivalent equations
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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.