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usually used in science, distance versus time to find speed. distance on y-xis, and time on x-axis. the line represents speed. since neither time nor distance can be negative, the line will always be in the first quadrant.

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Q: What is a real world example when the solution of a system of linear equations must be in the first quadrant?
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What is a system of linear equations that has no solution?

there is no linear equations that has no solution every problem has a solution


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For two linear equations, they are equations representing parallel lines. (The lines must not be concurrent because if they are, you will have an infinite number of solutions.) For example y = mx + b and y = mx + c where b and c are different numbers are two non-concurrent parallel lines. The equations have no solution. With more than two linear equations there is much more scope. Unless ALL the lines meet at one point, the system will not have a solution. So a system consisting of equations defining the three lines of a triangle, for example, will not have a solution.


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