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)

4  assignments of math

Step-by-step explanation:

Gerald can complete a math assignment in 2 hours

Gerald can complete a physics  assignment in 1 hours

Equation :

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

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

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

-2 is the right