Mega movies hosted a film premiere on friday night. they charged $9 for adults and $6 for children. one hundred twenty-seven adults and children attended, and $1,053 was made in ticket sales. how many children and how many adults went to the film premiere

x = number of adult tickets

y = number of children tickets

9x + 6y = 1053

x+y = 127 so x = 127 - y

replace x = 127 - y into 9x + 6y = 1053

9(127 - y) + 6y = 1053

1143 -9y + 6y = 1053

-3y = 1053 -1143

-3y = -90

y = 30

x = 127 - 30

x = 97

97 adults and 30 children

arithmetic sequence: a sequnce in which the diffrence between any two consecutive terms is the same

step-by-step explanation:

the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9