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3 years ago

Solve6x+5y=3 2x-3y=-13

Mathematics

2 answers:

babymother [125]3 years ago

6 0

Answer:

(x,y)=(-2,3)

Step-by-step explanation:

6x+5y=3

x=-(13/2)+(3/2)y

6(- 13/2+3/2y) +5y=3

y=3

x=13/2+3/2x3

x=2

Diano4ka-milaya [45]3 years ago

6 0

Step-by-step explanation:

let 6x+5y=3 be equation 1

and 2x-3y=-13 be equation 2

Multiply equation 2 by 3

(2x-3y)*3=(-13)*3

6x-9y=-39

Now Solving eq 1 and 2 simultaneously

6x+5y=3

6x-9y=-39

- + =+

_________

0+14y=42

y=42/14

y=3

Put y=3 in eq 1 to find x

6x+5y=3

6x+5(3)=3

6x+15=3

6x=3-15

6x=-12

x=-12/6

x=-2

Therefore y=3

x=-2

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Simplify this algbraic expression completely 5y-3(y+2)

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Answer:

2y - 6

Step-by-step explanation:

5y - 3(y + 2)

distribute

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2 years ago

A population has the following characteristics. (a) A total of 75% of the population survives the first year. Of that 75%, 25% s

Artemon [7]

Answer:

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$

i.e after the first year ;

there 1344 members in the first age class

84 members for the second age class; and

28 members for the third age class

Step-by-step explanation:

We can deduce that the age distribution vector x represents the number of population members for each age class; Given that in each class of age there are 112 members present.

The current age distribution vector is as follows:

$x = \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right] \left[\begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 0 \ \leq age \leq 2 }\\{0 \ \leq age \leq 3}\end{array}\right]$

Also , the age transition matrix is as follows:

$L = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right]$

After 1 year ; the age distribution vector will be :

$x_2 =Lx_1 = \left[\begin{array}{ccc}3&6&3\\0.75&0&0 \\0&0.25&0\end{array}\right] \left[\begin{array}{ccc}1&1&2\\1&1&2\\1&1&2\end{array}\right]$

$= \left[\begin{array}{ccc}1344\\84\\28\end{array}\right] \left \begin{array}{ccc}{0 \ \leq age \leq 1 }\\{ 1 \ \leq age \leq 2 }\\{2 \ \leq age \leq 3}\end{array}\right$