In rectangle IJKL, find x and y. Please help !!

X = 5 and Y = 6

Step-by-step explanation: The rectangle IJKL has dimensions for both lengths and both widths. JK and IL are the lengths and are given as 3X + 21 and 6Y. Also JI and KL are the widths and are given as 6Y - 6 and 2X + 20. Note that in any rectangle, the lengths are always equal to each other, and the same goes for both widths. Hence what we can conclude from that is

3X + 21 = 6Y and

6Y - 6 = 2X + 20

By simplifying further and collecting like terms we now have

3X - 6Y = -21 ——————(1)

6Y - 2X = 26 ——————(2)

What we now have is a pair of simultaneous equations. In order to solve for X and Y, we shall use the elimination method because all the unknown variables have a coefficients greater than 1. In order to eliminate the X variable, we shall multiply all through with the coefficients of X. So we multiply equation (1) by -2 and we multiply equation (2) by 3. Now we have,

3X - 6Y = -21 —— (x -2)

6Y - 2X = 26 ——-(x 3)

We now have a new set of simultaneous equations

-6X + 12Y = 42 ————(3)

18Y - 6X = 78 ————--(4)

Now we subtract equation (3) from equation (4) and that gives us

6Y + 0 = 36

6Y = 36

Divide both sides of the equation by 6

Y = 6

Now we can substitute the value of Y in equation (1)

3X - 6(6) = -21

3X -36 = -21

Add 36 to both sides of the equation

3X = 15

(Note that -36 + 36 = 0 and -21 + 36 = 15)

3X = 15

Divide both sides of the equation by 3

X = 5.

If you substitute for the values of X and Y in all four sides of the rectangle then you’ll have

Length = 36 and

Width = 30

b is the answer that makes most sense

step-by-step explanation:

not enough information

step-by-step explanation:

we cannot know this, because the other students could have handed out 10 flyers, or they could have handed out 100. one way, the mean would go up, and another way, the mean would go down.