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4 years ago

Solve the system of linear equations 2x -3y =1 -4x+6y=-4

Mathematics

2 answers:

ella [17]4 years ago

6 0

Answer: the system of linear equations has no solutions.

Step-by-step explanation:

The given system of linear equations is expressed as

2x -3y =1 - - - - - - - - - - - - -1

-4x+6y=-4 - - - - - - - - - - - - - 2

We would eliminate x by multiplying equation 1 by 2 and equation 2 by 1. It becomes

4x - 6y = 2

- 4x + 6y = - 4

Adding both equations, it becomes

4x - 4x - 6x + 6x = 2 - 4

0 = -2

Therefore, there is no solution to the system of linear equations

kherson [118]4 years ago

6 0

Answer:

No solution

Step-by-step explanation:

Given equations are:

$2x-3y=1$ ---------------------(1)

$-4x+6y=-4$ -------------------(2)

Multiplying equation 1 by 2:

$4x-6y=2$ ---------------------(3)

Adding equations (2) and (3):

0=-2

This is an impossible equality.That means that there are no solutions to the given system of linear equations.

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Which table shows a proportional relationship between x and y?<br> Plz Help

Nastasia [14]

Answer:

The proportional table in the attached figure

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>

<em>Verify each table</em>

Find the value of the constant of proportionality k for each ordered pair of a table.

$k=\frac{y}{x}$

If all the values of k are the same, then the table represent a proportional relationship between x and y

Table 1

For x=1, y=2 ----> $k=\frac{2}{1}=2$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

For x=3, y=8 ----> $k=\frac{8}{3}=2.7$

The values of k are not equal

This table not represent a proportional relationship between x and y

Table 2

For x=0, y=4

The line not passes through the origin

This table not represent a proportional relationship between x and y

Table 3

For x=0, y=0 ----> is OK the line passes though the origin

For x=1, y=1 ----> $k=\frac{1}{1}=1$

For x=2, y=4 ----> $k=\frac{4}{2}=2$

The values of k are not equal

This table not represent a proportional relationship between x and y

Table 4

For x=1, y=4 ----> $k=\frac{4}{1}=4$

For x=2, y=8 ----> $k=\frac{8}{2}=4$

For x=3, y=12 ----> $k=\frac{12}{3}=4$

The values of k are the same

This table represent a proportional relationship between x and y

5 0

4 years ago

The value of -8/15 · 20/65 is _____. <br> -1/6<br> 1/6 <br> 2/3 <br> - 2/3

vova2212 [387]

Step-by-step explanation:

2/3 is right and ok then thank

4 0

3 years ago

Lauren is shopping and finds 6 bracelets, 2 pairs of earrings, and 3 necklaces that she likes. How many ways can Lauren select 4

Grace [21]

Because it does not specify that she has to choose one or two from each category all pieces of jewelry can be treated as choices in a combination set.

the formula for a combination is

$C(n,r)= \frac{n!}{r!(n-r)!}$

where n is a total number of choices ( 11 )
and r is number chosen out of those choices (4)
so

C(11,4)= \frac{11!}{4!(11-4)!}

She has 330 possible choices to come home with 4 pieces of jewelry

5 0

4 years ago

Read 2 more answers

Type the solution.y=–3x–7y=x–3

Andrej [43]

Answer:

(x,y)=(-1,-4)

Step-by-step explanation:

y=–3x–7

y=x–3

(y=)-3x-7=x-3

-3x-x=-3+7

-4x=4

x=4/(-4)

x=-1

y=x-3

y=-1-3

y=-4

(x,y)=(-1,-4)

6 0

3 years ago

10 men working for 6 days can complete 5 copies of a book if there are 8 men working to complete 4 copies of the book how many d

Musya8 [376]

Answer:

6 Days

Step-by-step explanation:

Practically:

It takes,

10 Men ( complete ) 5 Copies --> 6 Days

So, 2 Men can complete 1 copy in 6 days.

Question asks us :

8 Men ( complete ) 4 Copies --> X Days

It will take 6 days because the proportion of men to copies is same as the first equation.

Theoretically:

10 Men 5 Copies 6 Days

8 Men 4 Copies X Days

> 6/X = 8/10 ( If men decrease the number of days increase. So, it is an indirect proportion. ) . 5/4 ( If copies decrease the number of days decrease as well. So, it is a direct proportion. )

> 6/X = 8/10 . 5/4

> 6/X = 40/40

> 6/X = 1

<h2>> X=6</h2><h2></h2><h2><em>I hope it will be understood.</em></h2><h2><em>If I have any inaccuracies please let me know.</em></h2><h2><em>Have a nice day and never stop questioning!</em></h2><h3><em></em></h3>

6 0

3 years ago

Read 2 more answers