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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)

User OLP
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X is 4 y is zero. So he can do four math assignments if this doesn't include breaks.
User David Alber
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3 votes

Answer:

4 assignments of math

Explanation:

Gerald can complete a math assignment in 2 hours

Gerald can complete a physics assignment in 1 hours

Equation :
2x+y=8

where x is the number of completed math assignments

y is the number of completed science assignments.

Since we are given that he decided to leave science assignment for the next day .

So, substitute y = 0


\Rightarrow 2x+0=8


\Rightarrow x=(8)/(2)


\Rightarrow x=4

Hence he can complete 4 assignments of math if he decides to leave the science assignments for the next day.

User Dumbledad
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