Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
2x - 3y = 9 → (1)
x + 2y = 1 → (2)
Rearrange (2) expressing x in terms of y by subtracting 2y from both sides
x = 1 - 2y → (3)
Substitute x = 1 - 2y into (1)
2(1 - 2y) - 3y = 9
2 - 4y - 3y = 9
- 7y + 2 = 9 ( subtract 2 from both sides )
- 7y = 7 ( divide both sides by - 7 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 1 - 2(- 1) = 1 + 2 = 3
solution is (3, - 1 )
2+½, is just 2½, now divided by 1/4.
let's first convert the mixed fraction to improper, and then divide.
![\bf \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{2}\div \cfrac{1}{4}\implies \cfrac{5}{2}\cdot \cfrac{4}{1}\implies \cfrac{5}{1}\cdot \cfrac{4}{2}\implies 5\cdot 2\implies 10](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5B-0.35em%5D%0A~%5Cdotfill%5C%5C%5C%5C%0A%5Ccfrac%7B5%7D%7B2%7D%5Cdiv%20%5Ccfrac%7B1%7D%7B4%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B2%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B1%7D%5Cimplies%20%5Ccfrac%7B5%7D%7B1%7D%5Ccdot%20%5Ccfrac%7B4%7D%7B2%7D%5Cimplies%205%5Ccdot%202%5Cimplies%2010)
Answer:
P': (5,3)
Q': (10,3)
R': (3,10)
Step-by-step explanation:
