Please help numbers 2-20 evens only

Q6: x= 10, y = -11

Q8: x= -3; y= 8

Q10: k= 7; j= -1

Step-by-step explanation:

Question6.

2x + y = 91

-2x - 3y = 132

Let's eliminate x by adding equation 1 and 2.

-2y = 22

y = 22/-2

y = -11

Substitute y = -11 in equation 1.

2x + y = 9

2x + (-11) = 9

2x - 11 = 9

2x = 9 + 11

2x = 20

x = 20/2

x = 10

x =10; y= -11

Question 8.

x + 2y = 13(I)

x + 6y = 45…(2)

By elimination method, let's take off x by subtracting equation 1 from 2.

6y - 2y = 45 - 13

4y = 32

y = 8.

Substitute y = 8 in equation 1.

x + 2y = 13

x + 2(8) = 13

x + 16 = 13

x = 13 - 16

x = -3

y= 8; x = -3

Question 10:

2j + 3k = 19 1

2j + 7k = 472

Let's eliminate j by subtracting equation 1 from equation 2.

4k = 28

k = 28/4

k= 7

Substitute k = 7 in equation 1.

2j + 3k = 19

2j + 3(7) = 19

2j + 21 = 19

2j = 19 - 21

2j = -2

j= -1

k= 7; j = -1

step-by-step explanation: h: (- 3, 6)

m: (1, - 2)

o: (7, 6)

r: (- 9, - 2)

midpoint of hm: (- 1, 2)

midpoint of or: (- 1, 2)

therefore, b is the midpoint of both diagonals bisect each other !

to prove the diagonals are perpendicular, show that the product of the slopes = - 1