Answer:
x = 53
y = 30
Step-by-step explanation:
Step(I):-
Given equations are
x -2y =-7 ...(I)
5x-9y =-5 ..(ii)
The matrix form AX = B
![\left[\begin{array}{ccc}1&-2\\ 5 & -9\\\end{array}\right] \left[\begin{array}{ccc}x\\y\\\end{array}\right] = \left[\begin{array}{ccc}-7\\-5\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%26-2%5C%5C%205%20%20%26%20-9%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5C%5C%5Cend%7Barray%7D%5Cright%5D%20%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-7%5C%5C-5%5C%5C%5Cend%7Barray%7D%5Cright%5D)
The determinant
By using Cramer's Rule
Δ₁ = ![\left[\begin{array}{ccc}-7&-2\\\\-5&-9\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-7%26-2%5C%5C%5C%5C-5%26-9%5Cend%7Barray%7D%5Cright%5D)
The determinant is Δ₁ = -9 X -7 - (10 ) = 53
x = Δ₁ / Δ
x = 53
The determinant
Δ₂ =
Δ₂ = -5 +35
y = Δ₂/Δ = 30
X- the total number of families in Smithville<span>.
(2/3)x - the number of home owning families.
At the same time, </span> the number of home owning families is 480.
(2/3)x=480
x=480*3/2=720.
720 <span>families live in Smithville.</span>
Answer:
It will cost Mr. Smith $68 to make his suit.
Step-by-step explanation:
Since the charge $12 per hour, and it takes 4 hours to make the suit, then we need to multiply 12 by 4.
12 × 4 = 48
Now we need to add the flat rate since that is the initial charge for service.
48 + 20 = 68
This means it will cost Mr. Smith a total of $68 for his suit.
Change the mixed fractions to an improper fraction.
4 5/7 = 32/7
1 6/7 = 13/7
Now you can easily subtract since both fractions have common denominators
32/7 - 13/7
(Think: 32 - 13 = 19)
Change the improper fraction to a mixed fraction
19/7 = 2 5/7
Answer: 2 5/7
Hope I helped =)
Answer:
Slope =1
Step-by-step explanation:
(2-1)/(3-2)= 1/1= 1
