2x + y = 10
x - 2y = -5
if (x,y) is the solution to the system of equations above, what is the value of 3x - y?

Answers

Answer 1
Answer:

3x - y = 5

Step-by-step explanation:

2x + y = 10  | ×2

x - 2y = -5

4x + 2y = 20

x - 2y = -5

add

4x + x + 2y - 2y = 20 - 5

5x = 15

x = 15 : 5

x = 3

replace x

4(3) + 2y = 20

12 + 2y = 20

2y = 8

y = 8 : 2

y = 4

3x - y =

= 3(3) - 4

= 9 - 4

= 5


Related Questions

The Atlas V Rocket could go 1 full mile in just 1/10 of a second. How fast did it travel?

Answers

Answer:

10 miles per second

Step-by-step explanation:

if 1/10 seconds is equal to one mile, then 10/10 (1) second would be equal to 10 miles (per second).

The speed of Atlas V Rocket was 10 mile per second.

Here,

The distance travel by Atlas V Rocket was = 1 mile

Time taken = 1/10 second

We have to find the speed of Atlas V Rocket.

What is Speed?

Speed of an object is calculated as;

Speed = Distance/Time

Now,

The distance travel by Atlas V Rocket = 1 mile

Time taken = 1/10 second

Hence, The speed of Atlas V Rocket = [tex]\frac{1}{\frac{1}{10} }[/tex] = [tex]10[/tex]

Therefore, The speed of Atlas V Rocket was 10 mile per second.

Learn more about the speed visit:

https://brainly.com/question/24571540

#SPJ2

What is the constant in the expression 9y + 12

Answers

In this expression, the constant would be 12.

A constant is simply a term that has no variable next to it.

It would be 12 a constant is a number on its own basically

5(5z - 7), when z = -1

Answers

Answer:

5(5(-1)-7)

-25-35

-60

Step-by-step explanation:

Answer: -60

Step-by-step explanation:

Image!!

what is does p equal if 8-p = -12 -3p

Answers

Answer:

8-p=-12-3p

8+12-p = -3p

20 = -3p + p

20 = -2p

20/-2 = p

-10 = p

ans. p = -10

...

Short answers is p=-10 hope this helps :)

A village fete has a children’s running race each year, run in heats of up to ten children. For each heat the first three contestants past the finishing line qualify for the final. There are three prizes in the final for 1st, 2nd and 3rd places. One year 29 children enter the race so there are three heats, of ten, ten and nine children. One year 29 children enter the race so there are three heats, of ten, ten and nine children. 1) What is the probability that three randomly chosen competitors win prizes? 2) What is the probability that two randomly chosen competitors win prizes? 3) How many ways are there to select ten competitors for the first heat? 4) Once the competitors have been selected for the first heat, how many different groups of three qualifiers are possible from this heat

Answers

Answer:  1) 1/3,654     2) 3/406     3) 72,684,900,288,000      4) 120

Step-by-step explanation:

1)         First       and        Second         and         Third

  [tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}[/tex]

2)         First       and          Second

   [tex]\dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}[/tex]

[tex]3)\quad \dfrac{29!}{(29-10)!}=\large\boxed{72,684,900,288,000}[/tex]

[tex]4)\quad _{10}C_3=\dfrac{10!}{3!(10-3)!}=\large\boxed{120}[/tex]

What is the product of 2x - 5 and 3x2 + 5x - 7? Write your answer in standard form. Show your work. Is the product of 2x – 5 and 3x2 + 5x - 7equal to the product of 5x – 2 and 3x2 + 5x - 7? Explain your answer.

Answers

Answer:

a) 6x³ − 5x² − 39x + 35

b) no

Step-by-step explanation:

(2x − 5) (3x² + 5x − 7)

Distribute:

3x² (2x − 5) + 5x (2x − 5) − 7 (2x − 5)

Distribute again:

6x³ − 15x² + 10x² − 25x − 14x + 35

Combine like terms:

6x³ − 5x² − 39x + 35

5x − 2 is the opposite of 2x − 5, so you would get the negative of the answer from part (a).

Will give 100 points.

Answers

Answer:

Ф = 66.2°

Step-by-step explanation:

The formula for work as

W = Fd cos⁡(Ф)

cos⁡(Ф) = W / Fd

Ф = cos^(-1)⁡〖W/Fd

Ф = cos^(-1)⁡〖110/33(8.25) 〗

Ф = 66.2°

Answer:

Ф = 66.2°

Step-by-step explanation:

A deep sea diver is 4.5m below the water level At what depth he is now ? At what height is he now

Answers

Answer:

Step-by-step explanation:

Below the sea level should be mentioned by negative value

So, It is  =  - 4.5

A hand-held digital music player was marked down by 1/4 of the original price. If the sales price is $128, what is the original price? Show work and explain

Answers

I believe it’s 512$
1/4 of 512 is 128
128 * 4 = 512

4x + y = 2
I need to solve the literal equation for y.

Answers

Answer: y=2−4x

Step-by-step explanation:

When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.

A cliff diver leaps from a 100-foot cliff into the Pacific. The diver’s height above the water is modeled by the function P(x) = –16x 2 + 10x + 100, where x is time in seconds. During which interval is the diver at least halfway down

Answers

Answer:

2.1 < x <2.5

Step-by-step explanation:

i’m taking the test rn i’m not sure if it’s correct i’ll lyk!

Answer:

B on Edge

Step-by-step explanation:

Joe drops a pebble into the sea. The pebble drops 2 inches every second. How many inches below sea level does it drop after 6 seconds?

Answers

Answer:

12 inches

Step-by-step explanation:

Use the Distributive Property to multiply 9 and 37 in your head.

What is the answer?

Answers

Answer:

The answer is 333.

Step-by-step explanation:

Using the distributive property, you can do:

9 x 30 = 270

9 x 7 = 63

270 + 63 = 233.

Then, just check with a calculator. It's correct.

Hope this helps!

Answer: 333

Step-by-step explanation:

9x(30+7) = (9x30) + (9x7)

270+63=333

10 [12 2+ (4 x 2)] ÷ 8 2

Answers

The answer is =
20x+60

Find |-22| =
Pls show your work

Answers

Answer:

I think it's 22

Step-by-step explanation:

because it's inverse operations all you do is remove the negative and the barackets

. An airplane took off and reached an altitude of 10,000 feet in 25 minutes. How many feet per minute, on average, did the airplane climb

Answers

Answer:

400 feet per minute

Step-by-step explanation:

Because it's feet per minute, you'll divide 10,000 by 25

400 feet per minute

hope this is good enough

Express , twelve times a number minus six is less than or equal to
negative eighteen as an equation

Answers

Answer:

12x - 6 ≤ - 18

Step-by-step explanation:

We will call "a number" x so

Twelve times a number would be:

12x

Then minus 6

12x - 6

Now we add the less than or equal to sign.

12x - 6 ≤

This is equal to negative eighteen, so:

12x - 6 ≤ - 18

As a bonus we can also solve for x.

12x - 6 = - 18    Add 6 to each side.

12x - 6 + 6 = -18 + 6

12x = -18 + 6

12x = -12  Divide each side by 12

12x/12 = -12/12

x = -12/12

x = -1

So we can say when x ≤ -1 Then 12x - 6 ≤ -18

At a dance supply store dance pants cost $30 each and leotards cost $18 each you have $175 to spend you are going to buy 3 pairs of pants what is the greatest number of leotards you can buy

Answers

answer

4 pairs

Step-by-step explanation:

total is $175

when you buy three pairs of pants you have wasted $90

175-90 equals 85

The line of reflection is
and the coordinates of C are

Answers

Points A′, B′, and D′ are shown, but the line of reflection and point C′ are not . coordinates of C from the graph = (4,2) If the coordinates of C'=(6,2) we can see that value of y isn't change with reflection therefore the line of reflection would be x= ordinate of C'+ ordinate of C divided by 2=6+4 divided by 2=10 divided by 2=5. Therefore, the line of reflection must be x=5.

what does ="" mean ?

Answers

PLEASE GIVE BRAINLIST

equal

quotation marks

HOPE THIS HELPED

how many times can 2 go into 238​

Answers

just divide 238/2
the answer is 119

Answer:

i think it is 119

(15.x + 79)
(5x + 61)

Answers

Answer:

A) 15x +79  = z

B) 15x +79 + 5x + 61 = 180

20x + 140 = 180

20x = 40

x = 2

Then using equation A)

A) 15 * 2 + 79 = z

30 + 79 =z

z = 109

Step-by-step explanation:

Snow is falling steadily in syyracuse ny. After two hours 4inches of snow has fallen. write an equation that gives the amount of snow that has fallen after x hours at this rate

Answers

Answer:

26

Step-by-step explanation:

For example, x = 13. 1 hour is 2 inches of rain. So 13 x 2 = 26.

Solve
3(4- 2)
2.
Select the correct choice below an

Answers

Answer:

6

Step-by-step explanation:

3(4-2) distribute 3

12-6

6

always follow PEMDAS! (please look it up if you don’t know what it means )

PEMDAS states we should do parentheses first, so 4-2 equals 2!

Next, we need to multiply. 2 times 3 equals 6. The answer is 6!

hope this helps!!

How do you do question #5?

Answers

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

10x2-10x+2 from 8x2+7-7

Answers

Step-by-step explanation:

10x2-10x+2

20-10x+2

22-10x

8x2+7-7

16+0

16

I'm confused so I add together cuz why not?

16+22-10x

28-10x

Help me withis problem please I'm bad at math.

Answers

g(x) = f(x) - 5

We subtract 5 from f(x) because we are doing a vertical shift down 5 units.

Answer: A

Step-by-step explanation:

For this problem, you would need to analyze the graph.

If you notice, both lines look pretty identical with the exception of one lower than the other. As you can see, the blue line is the same as the red line, but shifted down by 5. Therefore, you would subtract f(x) by 5. That would make A our answer.

The reciprocal of 1/6 is

Answers

Answer:

6/1 or 6

Step-by-step explanation:

This is the answer because:

1) The reciprocal of a number is the fraction flipped upside down. Basically, when the numerator becomes the denominator and the denominator becomes the numerator.

2) So when you flip the fraction, you will get 6/1 which equals 6

Hope this helps!



what is equal to
[tex] \frac{( {2}^{3} ) {}^{3} }{( {3}^{3} ) {}^{3} } [/tex]


A.
[tex]( \frac{2}{3} ) {}^{6} [/tex]
B.
[tex]( \frac{2}{3} ) {}^{9} [/tex]
C.
[tex]( - 6) { }^{6} [/tex]
D.
[tex]( - 6) {}^{9} [/tex]

Answers

Answer:

B.

Step-by-step explanation:

jonshelle is developing a new bread recipe. The relationship between cups of water, w, and cups of flour, f, is w=3/5f what is the scale factor of water to flour?

Answers

Answer:

The scale factor of water to flour is simply 3/5 or 3 to 5

Step-by-step explanation:

Here, we are interested in knowing the scale factor of water to flour.

To know this, we simply will rearrange the given equation;

w = 3/5f

Divide both side by f

w/f = 3/5

This shows that the scale factor of water to flour is 3 to 5 or simply 3/5

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