All categories

3 years ago

How many solutions does the following system have? 2x- 4y = 11 -2x + 4y = -10

Mathematics

2 answers:

rosijanka [135]3 years ago

6 0

Answer:

This system has no solution

Step-by-step explanation:

-(11+4y)+4y=-10

no solution

kotegsom [21]3 years ago

6 0

-(11+4y) + 4 = -10

There is no solution

You might be interested in

Basic factoring. Please help!

irakobra [83]

Answer:

-1(3 - y)

Step-by-step explanation:

If you factor out a negative 1, you will get the opposite signs you already have, so -1(3 - y). To check, we can simply distribute again:

-3 + y

So our answer is 2nd Choice.

3 0

3 years ago

NEED HELP ASAP!

galina1969 [7]

9514 1404 393

Answer:

lamp: $80
end table: $140

Step-by-step explanation:

If we let x and y represent the costs of a lamp and end table, respectively, the two purchases can be written as ...

3x +2y = 520

2x -y = 20

These equations can be solved many ways. If we use "elimination", we can add twice the second equation to the first to eliminate y:

(3x +2y) +2(2x -y) = (520) +2(20)

7x = 560 . . . . simplify

x = 80 . . . . . . divide by 7

y = 2x -20 = 2(80) -20 = 140

The cost of a lamp is $80; the cost of an end table is $140.

6 0

3 years ago

A Broadway theater has 800 seats, divided into orchestra, main, and balcony seating. Orchestra seats sell for $ 40 comma main

KatRina [158]

Answer:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

$x +y+z=800 ..... (1)$

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

$\Rightarrow 40x + 30y+20z=23200 ...... (2)$

If all the main and balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $ 20 comma 000.

$\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)$

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

$\Rightarrow 20x = 3200\\\Rightarrow x = 160$

Putting value of x in equations (1) and (2):

Equation (1)

$\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)$

Equation (2)

$\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)$

Equation (5) - 2 $\times$ Equation(4):

$\Rightarrow y =400$

Putting value of y in equation (4):

$400 +z = 640\\\Rightarrow z =240$

Hence, answer is:

<em>orchestra seats: main seats: balcony seats: 160: 400: 240</em>

4 0

3 years ago

Find the value of x. If necessary, you may learn with the markings on a figure indicate.

love history [14]

Answer:

112

Step-by-step explanation:

6 0

3 years ago

Some number added to seventeen? Help!

Ira Lisetskai [31]

Your answer would be the equation 17+n

5 0

3 years ago