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)
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
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
Gerald can complete 4 math assignments in 8 hours
To determine the number of math assignments Gerald can complete, we need to solve the equation 2x + y = 8, where x represents the number of completed math assignments.
To do this, we can use a technique called substitution. Since Gerald has decided to leave the science assignments for the next day, y would be equal to 0.
Substituting y = 0 into the equation, we get:
2x + 0 = 8
Simplifying this equation, we get:
2x = 8
Dividing both sides by 2, we find:
x = 4
Therefore, Gerald can complete 4 math assignments within the 8-hour time frame if he decides to leave the science assignments for the next day.
How many math assignments can he complete if he decides to leave the science assignments for the next day?
You know:
x is the number of completed math assignments
y is the number of completed science assignments
AND
2x + y = 8
So, if "he decides to leave the science assignments for the next day" how many science assignments will he do?
Put that number in for y.
After that you solve for x.