Of 200 students surveyed about their extracurricular activities, some are members of the student council. Of those students on the student council, 85 students also play a sport, and the remaining 72 students do not play a sport. Write an equation to find the number of students who are not on student council.

200 - x = y ; when y is not student council and x is student council

or 200 - 157 = 43

Step-by-step explanation:

I. The only clues we got here are total students is 200, student council and not student counsin.

  - 85 kids of student council play sport.

  - 72 kids of student council not play sport.

So the total of student counsin is

   = 85 + 72

 x  = 157

II. Find the kids who are not student council

When total student - student council = not student council

           200 - x = y

           200 - 157 = 43

So  y  = 43

That makes 43 kids of students who aren't student council.

Hope that help :)

step-by-step explanation:

try remembering the steps

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!