The teachers had 100 pounds she gave each student to pencils she has 18 students how many pencils does she have left

We have been given that the teacher had 100 pencils. She gave each student to pencils. She has 18 students. We are asked to find the number of pencils left.

We will use long division to solve our given problem. The number of pencils left will be remainder of division of 100 by 18.

We know that 18 times 5 is 90, so we will get.

     18)100(5

          90

           10

Since remainder is 10, therefore, the teacher have 10 pencils left.

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3