The correct solution is x=5,y=1
Ste<u>p-by-step explanation:</u>
Given the set of equations
4x-9y=11(1)
10x-9y=41(2)
we have to determine the values of x and y
solve this using elimination method
4x-9y=11(1)
10x-9y=41(2)
(2)-(1)
10x-4x-9y-(-9y)=41-11
10x-4x-0=30
6x=30
x=30/6
=5
substitute y in (1)
![4\times 5-9y=11\\20-9y=11\\9y=20-11=9\\y=9/9\\=1](https://tex.z-dn.net/?f=4%5Ctimes%205-9y%3D11%5C%5C20-9y%3D11%5C%5C9y%3D20-11%3D9%5C%5Cy%3D9%2F9%5C%5C%3D1)
x=5
y=1
Answer:
true
Step-by-step explanation:
if you have a line LP and midpoint M means M divides LP in to two equal parts ie LM and MP
Answer:
![\huge{ \fbox{ \sf{ \: ( \: 3 \: , \: - 1 \: )}}}](https://tex.z-dn.net/?f=%20%5Chuge%7B%20%5Cfbox%7B%20%5Csf%7B%20%5C%3A%20%28%20%5C%3A%203%20%5C%3A%20%2C%20%20%5C%3A%20%20-%201%20%5C%3A%20%29%7D%7D%7D)
Step-by-step explanation:
![\star{ \sf { \: Let \: the \: points \:be \: A \: and \: B}}](https://tex.z-dn.net/?f=%20%5Cstar%7B%20%5Csf%20%7B%20%5C%3A%20Let%20%5C%3A%20the%20%5C%3A%20points%20%5C%3Abe%20%5C%3A%20A%20%5C%3A%20and%20%5C%3A%20B%7D%7D)
![\star{ \sf{ \: Let \: \: A (8,6) \: be \: (x1 \:, y1) and \: B(-2,-8) \: be \: (x2 \:, y2)}}](https://tex.z-dn.net/?f=%20%5Cstar%7B%20%5Csf%7B%20%5C%3A%20Let%20%5C%3A%20%5C%3A%20A%20%288%2C6%29%20%5C%3A%20be%20%5C%3A%20%28x1%20%5C%3A%2C%20y1%29%20and%20%20%5C%3A%20B%28-2%2C-8%29%20%5C%3A%20be%20%5C%3A%20%28x2%20%5C%3A%2C%20y2%29%7D%7D)
![\underline{ \sf{Finding \: the \: midpoint}}](https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Csf%7BFinding%20%5C%3A%20the%20%5C%3A%20midpoint%7D%7D)
![\boxed{ \rm{Midpoint \: = \: ( \frac{x1 + x2}{2} \: , \: \frac{y1 + y2}{2} )}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Crm%7BMidpoint%20%5C%3A%20%20%3D%20%20%5C%3A%20%28%20%5Cfrac%7Bx1%20%2B%20x2%7D%7B2%7D%20%20%5C%3A%20%2C%20%20%5C%3A%20%20%5Cfrac%7By1%20%2B%20y2%7D%7B2%7D%20%29%7D%7D)
![\mapsto{ \sf{Midpoint = ( \frac{8 + ( - 2)}{2} \: , \: \frac{6 + ( - 8)}{2} )}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7BMidpoint%20%3D%20%28%20%5Cfrac%7B8%20%2B%20%28%20-%202%29%7D%7B2%7D%20%20%5C%3A%20%2C%20%20%5C%3A%20%20%5Cfrac%7B6%20%2B%20%28%20-%208%29%7D%7B2%7D%20%29%7D%7D)
![\mapsto { \sf{Midpoint = ( \frac{8 - 2}{2} \: , \: \frac{6 - 8}{2} }})](https://tex.z-dn.net/?f=%20%5Cmapsto%20%7B%20%5Csf%7BMidpoint%20%3D%20%28%20%5Cfrac%7B8%20-%202%7D%7B2%7D%20%20%5C%3A%20%2C%20%20%5C%3A%20%20%5Cfrac%7B6%20-%208%7D%7B2%7D%20%7D%7D%29)
![\mapsto{ \sf{Midpoint = ( \frac{6}{2} \: , \: \frac{ - 2}{2}) }}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7BMidpoint%20%3D%20%28%20%5Cfrac%7B6%7D%7B2%7D%20%20%5C%3A%20%2C%20%20%5C%3A%20%20%5Cfrac%7B%20-%202%7D%7B2%7D%29%20%7D%7D)
![\mapsto{ \sf{Midpoint = (3 \: \: , - 1)}}](https://tex.z-dn.net/?f=%20%5Cmapsto%7B%20%5Csf%7BMidpoint%20%3D%20%283%20%5C%3A%20%5C%3A%20%20%2C%20%20%20-%201%29%7D%7D)
Hope I helped!
Best wishes!! :D
~![\sf{TheAnimeGirl}](https://tex.z-dn.net/?f=%20%5Csf%7BTheAnimeGirl%7D)