Problem 10 / (Second Session 2006) To buy two copybooks and one pen we must pay 2750 L. L, and to buy four copybooks and three pens we must

pay 7750 L. L. The preceding information is translated into the following system:(2x+y=2750
14x + 3y = 7750
1. What does x and y represent in this system?
2. Which information is translated by the equation 4x + 3y = 7750?
3. Solve the preceding system, showing the followed steps in detail, to find the price of a copybook and the price of a pen.

Find other solutions in explanation

x = 250

y = 1750

Step-by-step explanation:

x = cost per copybook

y = cost per pen

2. Sum of the cost of 4 copy books and 3 pen is equal to 7750

3.)

2x+y=2750 - - (1)

4x + 3y = 7750 - - - (2)

From (1)

y = 2750 - 2x

Substitute y = 2750 - 2x into (2)

4x + 3(2750 - 2x) = 7750

4x + 8250 - 6x = 7750

-2x = - 500

x = 500/2

x = 250

y = 2750 - 2(500)

y = 2750 - 1000

y = 1750

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

false

step-by-step explanation: