After 20 minutes he is on page 120 after 45 minutes he is on page 178how many pages did he read before study hall

The total number of pages read by him before study hall is 178 .

Step-by-step explanation:

Given as :

The total number of page read after 20 min = 120 pages

After 45 min of reading , he is on page number 178

Let The total number of pages read by him = n

Now, Since after 45 min of reading he is on page number 178

so, After page number 120, he started reading from page number 121 and read up to page number 178

Or, The number of pages between page number 178 and page number 120 = (178 - 121 ) + 1

Or, The number of pages between page number 178 and page number 120 = 57 + 1

Or, The number of pages between page number 178 and page number 120 = 58

So, The total number of pages he read in all = The total number of page read after 20 min + number of pages he read for 45 min

∴ n = 120 + 58

I.e n = 178

The total number of pages read by him = n = 178

Hence The total number of pages read by him before study hall is 178 . Answer

(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