System of equations word problem: no solution (Full video)

Khan Academy
Supporting grades: 8

Description: Systems of equations can be used to solve many real-world problems. In this video, we solve a problem about a toy factory. In this case, the problem has no viable solution, which means the information describes an impossible situation. A factory has machines that produce toys, which are then packed by the factory's workers. One day, each machine produced 14 toys and each worker packed two toys, so that a total of 40 toys remained unpacked. Additionally, the number of workers that day was eight less than seven times the number of machines.

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