Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. If he has 8 hours to complete a set of assignments, how many math assignments can he complete if he decides to leave the science assignments for the next day? This situation is given by 2x + y = 8, where x is the number of completed math assignments and y is the number of completed science assignments. (x 0, y 0, x and y take only integer values)
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Question

Gerald can complete a math assignment in 2 hours and a physics assignment in 1 hour. If he has 8 hours to complete a set of assignments, how many math assignments can he complete if he decides to leave the science assignments for the next day? This situation is given by 2x + y = 8, where x is the number of completed math assignments and y is the number of completed science assignments. (x   0, y   0, x and y take only integer values)
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hugsnotughs · Answer

Well think about it.  They say that math assignment take him two hours, and physics takes him one.  But today he has eight hours to complete only math assignments.  8 divided by 2 is 4, which is how many math assignment he will complete.