What is the solution to this system of equations?
2x + 4y = 22
7x + y = 12

Answers

Answer 1

Answer:

x=1 and y=5

Step-by-step explanation:

simultaneous equations: substitution method

2x+4y=22----equation 1

7x+y=12---equation 2

from equation 2 make y the subject

y=12-7x----equation 3

substitute y into equation 1 to find x

2x+4(12-7x)=22

2x+48-28x=22

collect like terms

2x-28x=22-48

-26x=-26

divide by -26

-26x/-26=-26/-26

x=1

substitute x=1 into equation 3

y=12-7(1)

y=12-7

y=5

therefore, x=1 and y=5


Related Questions

Triangle ABC is a right triangle.
m∠A=5x°
m∠B=(3x−4)°
m∠C=90°
What is the value of x?

Answers

Answer:

x = 11.75

Step-by-step explanation:

m∠A + m∠B must equal 90

5x + 3x - 4 = 90

8x = 94

x = 11.75

greatest common factor of -4x to the 4 power minus -8x to the 3 power?

Answers

This question is ambiguous because we don’t know if the two numbers are -4x^4 and -8x^3 or (-4x)^4 and (-8x)^3. In the first case 4x^3 is present in both and nothing else is. In the second case (4x)^3 is the largest common factor.

Help plssssssss
- Sorry it’s kinda a bad photo

Answers

Answer:

5

Step-by-step explanation:

Because if you divide them all you see that in 5 you don't get a whole number

Enter a, b, and the y-intercept. Select the correct graph of the function.
f(x)=-5(2)

Answers

8988476554445677765443344

The segments formed by the altitude to the hypotenuse of a right triangle are 8 and 10. Find the shorter leg of that triangle.

Answers

Answer: 6

Step-by-step explanation:

Since the hypothenuse is 10 and the larger leg of the triangle is given as 8, the shorter leg will be calculated as the square of the hypothenuse minus the square of the longer leg after which we find the square root of the value gotten. This will be:

Shorter leg² = 10² - 8²

Shorter leg² = 100 - 64

Shorter leg² = 36

Shorter leg = ✓36

Shorter leg = 6


Case #4 Number Theory
Travis works at a kite factory. He checks all the kites before they are
packaged. Travis discovered that for every 28 kites that he inspected,
7 kites did not pass: 4 kites did not have tails, and 3 kites
had the wrong colors.
of the 476 kites Travis examined, how many did not have tails
and how many had the wrong colors?
please show work like this

Answers

I’m not sure. But good luck!

In OPQ q=18 o=96 and P=142 find the length of p to the nearest centimeter

Answers

Answer:

1000000

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Dennis, Sanani
Ajar contains marbles of different colors. The probability of drawing a red marble at random is
What is the probability, and the likelihood, that the marble drawn is not red?
o ; likely
O : likely
o $; unlikely
of unlikely
Calculator

Answers

Look up "Everything You Need To Know About (Your Subject) In One Big Fat Notebook pdf." It's the best thing I've ever been given, I have it with me in my class all the time and I've aced every test. I have it with me right now and it has everything I've ever been taught in it so it might help you.

Fine the slope
Pls someone help me im trying to get a 100 for my hw ❤️

Answers

Answer:

-7/2isa answer or -3 1/2

Step-by-step explanation:

y=-7x/2-1

y+7/2 x+1=0

slope=-(7/2)/1=-7/2

Correct answer is Slope is -7/2

I have asked so many questions and no one has helped me out lol

Answers

Answer:

That's really sad.  

Step-by-step explanation:

I'll go check out your questions :)

the mean of the ages of 5 brothers is 13 years. If the ages of four of the brothers are 12, 16, 14, and 8, how old is the fith brother​

Answers

I don’t feel like solving it right now but in order to find a mean you have to add up all numbers and divide by the amount of people/objects.

If you want to solve this problem you would need to multiply 13 by 5 and then add 12, 16, 14, and 8 together and subtract it from your product of 13 and 5.

After that just check your answer by seeing if the mean of all the numbers is the same.

Rachel left home for school at 7:45 one morning. She returned home at 4:05 that afternoon. How many hours and minutes was she gone? (The number of minutes in your answer must be less than 60.)

Answers

Answer:

8 hours 20 minutes

Step-by-step explanation:

Given that :

Time Rachel left for school = 7:45 a.m

Time she returned Home = 4:05 p.m

Time for which Rachael was gone :

4:05 p.m - 7:45 a.m

7:45 a.m to 3:45 p.m= 8 hours

3:45pm to 4:05 pm = 20 minutes

= 8 hours 20 minutes

Rachael was gone for 8 hours 20 minutes

In one round of a television game show, five questions are asked. The second question is worth twice as much as the first. The third question is worth three times as much as the second. The fourth question is worth four times as much as the third. The fifth question is worth five times as much as the fourth. If the fifth question is worth $12,000, what is the first question worth?

Answers

Answer:

$100

Step-by-step explanation:

1st q. 2nd q. 3rd q. 4th q. 5th q

x. 2x. 3(2x)=6x. 4(6x)=24x. 5(24x)=120x

100. 200. 600. 2400. 12000

since the 5th q was worth 12000 we know:

120x = 12000

x = 100

raise c to the 8th power!​

Answers

Answer:

c^8

Step-by-step explanation:

Answer:

you cant

Step-by-step explanation:

if c is a variable, then to put it to the power of anything, we would need to know what the value of c is.

JUST REPOSTING THIS QUESTION UNTIL I GET A CORRECT ANSWER lol!

Answers

Answer:

3x+(8x+15=180

3x+8x+15)=180

11x+15=180

11=180-15

11x=165

x=165/11

x=15

If the legs of a right triangle are given by x^2 - y^2 and 2xy then which expression equals the hypotenuse ? Choose all that apply

Answers

Answer:

[tex]\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}[/tex]

Step-by-step explanation:

Hypotenuse of a right triangle can be found using the Pythagorean theorem which states that both legs squared and added is equal to the hypotenuse squared. In other words, if A and B are legs and C is the hypotenuse:

[tex]C=\sqrt{A^2+B^2}[/tex]

We are told that one of the legs is [tex]x^2-y^2[/tex] and the other is [tex]2xy[/tex] so we get [tex]\sqrt{\left(x^2-y^2\right)^2+\left(2xy\right)^2}[/tex] when we substitute the legs into the formula presented above.

Expand and simplify
3(2m + 1) + 5m

Answers

Answer:

The simplified answer is 8m+3.

Step-by-step explanation:

3(2m+1)+5m

(6m+3)+5m

8m+3

Answer:

11m + 3

Step-by-step explanation:

First you distribute:

3 ( 2 + 1 )  +  5

6m + 3 + 5m

Next, you combine like terms:

6m + 5m + 3 = 11m + 3

Roberto is dividing his baseball cards equally between himself, his brother, and his 3 friends. Roberto was left with 9 cards. How many cards did Roberto give away? Write and solve an equation to solve the problem.


PLZZZ HELP MEE ILL GIVE BRAINLIEST AND 50 POINTS!!!

Answers

Answer:

The answer would be 45.

Step-by-step explanation:

5*9=45

Answer:

45

Step-by-step explanation:

First we count how many people he split it between which is 5 and we have to remember the key word here is equal so if he was left with 9 then everybody else did as well. so we multiply 5 times 9 which is 45

A farmer sells a dozen eggs at the market for 2.00 and one of his bags of gains for 5.00 he sold 5 time as many bags of grains as he has dozens of eggs. By the end of the day he has made 243.00 worth of sales. How many bags of grain did he sell

Answers

Answer:

45 bags

Step-by-step explanation:

Cost of a dozen eggs = 2

A bag of grain = 5

Let :

dozens of eggs sold = x

Bag of grains sold = 5x

Total sales worth = 243

Quantity sold * price

2* x + 5 * 5x

2x + 25x = 243

27x = 243

x = 243 / 27

x = 9

Bags of grains sold = 5x = 9*5 = 45 bags

Combine the like terms to create an equivalent expression:plsss helpp

Answers

T out need to add all of them the find all x and sub those

6)
Solve.
x + 5 = 10
A)
x = 2
B)
x = 3
09
x = 4
D)
X = 5

Answers

D is the correct answer
x+5=10: subtract 5 from both sides the 5 will cancel out leaving x=5
x+5=10
-5 -5
x=5

15. Considera um losango em que uma diagonal tem 8cm e cuja área é 12cm^2. Qual é o comprimento do lado do losango, arredondado às décimas? Nota: Indica apenas o valor numérico usando algarismos. (Não escrevas unidades de medida na resposta.)

Answers

Answer:

4,3cm

Step-by-step explanation:

Passo 1

Um losango tem 2 diagonais, cujos comprimentos não são iguais

Temos que encontrar o comprimento da segunda diagonal

A fórmula é dada como:

Área de um losango = 1/2 (d1 × d2)

Área do losango = 12 cm²

d1 = Comprimento da primeira diagonal = 8cm

d2 = Comprimento da segunda diagonal = x

12 = 1/2 (8 × x)

12 = 1/2 (8x)

12 = 4x

x = 12/4

x = 3cm

O comprimento da segunda diagonal = 3 cm

Passo 2

A fórmula do comprimento da lateral de um losango é dada como:

s = √d1² + d2² / 2

d1 = 8cm

d2 = 3 cm

s = √8² + 3² / 2

s = √64 + 9/2

s = √73 / 2

s = 8,5440037453 / 2

s = 4,2720018727 cm

Aproximadamente = 4,3 cm

a recipe says to use 3 cups of flour to make 48 cookies what is the constant of proportionality that relates the number of cookies made, y , to the number of cups of flour used

please help me​

Answers

Answer:

12 is the answer for this question

If a shape is dilated by 1/2, will it shrink, or will it get bigger?

Answers

It would shrink...............

Kenneth Drew a scale drawing of an apartment the scale of the drawing was 2 meters:1 meter the living room is 6 m long in real life how long is the living room in drawing

Answers

Answer:

3 meters

Step-by-step explanation:

Given the scale drawing :

2m : 1m

Length of living room in real life = 6 m long

2 meter = 1 meter

Real life = scale drawing

If length = 6 meter long ;

using cross multiplication :

2 meter = 1 meter

6 meter = x

2x = 6

x = 6/2

x = 3 meter

Length of living room in drawing = 3 meters

i need help finding the system of inequalities!

Answers

Answer:

35

Step-by-step explanation:

h

3(x-10)=-9


linear equation. ​

Answers

Answer:

x=7

Step-by-step explanation:

3x-30=-9

3x=21

x=7

hope this helped! have a Blessed day!

3(x-10) =-9

3x - 30 = - 9

3x - 30+30= - 9+30

3x =21

X = 21/3.

X= 7

Given g(c) = -x + 5, solve for x when g(x) =
-2

Answers

Answer:

x=7

Step-by-step explanation:

When it says g(x)=-2, you simply plug in -2 for g(x).
It would be -2=-x+5
Now solve!
Hope this helps!

The measure of an angle is nine times the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

18 and 162

Step-by-step explanation:

7y+2
20
X + 8
30
Find the values of x and y in each parallelogram

Answers

Answer:

vvvvvvvvvv

24 x 56y i

Step-by-step explanation:

is the answer

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