each system of equations by SUBSTI
x + 3y = 9
4x – 2y = -6

Answers

Answer 1

Answer:

[tex]\huge\boxed{x=0,\ y=3\to(0;\ 3)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x+3y=9&\text{subtract }3y\ \text{from both sides}\\4x-2y=-6\end{array}\right\\\\\left\{\begin{array}{ccc}x=9-3y&(1)\\4x-2y=-6&(2)\end{array}\right[/tex]

Substitute (1) to (2):

[tex]4(9-3y)-2y=-6\qquad|\text{use the distributive property}\\\\(4)(9)+(4)(-3y)-2y=-6\\\\36-12y-2y=-6\qquad|\text{subtract 36 from both sides}\\\\-14y=-42\qquad|\text{divide both sides by (-14)}\\\\y=3[/tex]

Put it to (1):

[tex]x=9-3(3)\\\\x=9-9\\\\x=0[/tex]


Related Questions

A movie theater has 400 seats. Tickets at the theater cost $8 for students, $10 for adults, and $7 for senior citizens. On a night when all the seats were sold, the theater made $3,535 from ticket sales. If the number of adult tickets sold was 10 less than the number of student and senior tickets combined, how many senior tickets were sold?
55 senior tickets
150 senior tickets
195 senior tickets
255 senior tickets

Answers

Answer:

55 senior tickets

Step-by-step explanation:

400 seats

students: $8

Adults: $10

Seniors: $7

All seats were sold and the total money they got was $3,535

Adult tickets sold was 10 less than the # of student and seniors combined.

8a+10b+7c=3535

a+b+c=400 now just solve for them

8a+10b+7c=3535

-8a-8b-8c=-3200

2b-c=335...

If you solve for the numbers, you'll get 55 tickets.

what is the gradient?

Answers

Answer:

[tex] \frac{3}{2} [/tex]

Step-by-step explanation:

hi thereas we know gradient of Graf=

[tex] \frac{∆y}{∆x} [/tex]

[tex] \frac{3}{2} [/tex]

Which is an equivalent expression for 4(x + 7) – 9

Answers

Answer:

4x + 19 is an equivalent expression

Step-by-step explanation:

4x + 28 - 9

so therefore

4x + 19

Lesson 4 problem solving practice

Answers

Answer:

what is your question?

Step-by-step explanation:

4/5 + 1/2 = ?
A 1 3/10
B 15/10
C 2 4/10
D 5/7

Answers

Answer:

13/10

Step-by-step explanation:

The right answer is A

Steps to Solve:

-(2³)p + (-6p) = -112

Answers

Answer: p=8

Step-by-step explanation:(−23)(p)−6p=−112

−8p+−6p=−112

(−8p+−6p)=−112(Combine Like Terms)

−14p=−112

−14p=−112

−14p/−14 = −112/−14

p=8

Find the area of the parallelogram shown below.
3
6
square units
Stuc. TAI

Answers

Answer: 18

Step-by-step explanation:

Area of parallelogram: b × h

3 × 6 = 18

Hope this helped! :3

I Need help pls!
What is 75% of 800?
A; 9 3/8
B; 10.66

Answers

Answer:

it's 600

Step-by-step explanation:

that's not an option there but...

10% of 800 is 80

5% of 800 is 40

80 × 7 = 560

560 + 40 = 600

find the sum of 0.48 and 0.6

Answers

Answer: the sum is 1.08

PLEASE ANSWER ASAP!!!!!!!!!!!!!!!
Authors set a TONE or MOOD in literature by conveying an emotion or emotions through ________.

Answers

Answer:

Author's craft

Step-by-step explanation:

f dcsdfsxadszcdxsfaczdsadzxsaddesdxxedrdrdsqxd

the mean of 31,29,33,37,43,38,33,40

Answers

Answer:

37 is the mean of this question

Answer:

35.5

Step-by-step explanation:

31+29+33+37+43+28+33+40=284

284/8 (the amount amount numbers in question)

284/8=35.5

Sienna decides to buy a car. She has enough money saved up for the down payment on the car. The total cost of the car including taxes is $4800. She pays $500 down and then agrees to pay the balance over the next two years in 24 equal payments. Sienna works part time at a bookstore and is paid $12 for each hour she works. Her employer has agreed to let her work extra hours each month over the next two years to earn the additional money she will need for her car payment each month. What is the approximate number of additional hours per month Sienna will have to work over the next two years in order to earn enough extra money to cover her monthly car payment?

Answers

Answer:

4 hours

Step-by-step explanation:

For Pham to maximize her income, she must consider the jobs with the highest per-hour earnings first. She has 15 hours to work. Her priorities should be as below.

Work at the cafe for 6 hours for $15 per hour

Work at the garage for 5 hours  for $13 per hour

Work at the books store for 4 hours for $12 per hour

A  total of 15 hours. Pham can work at the book store for 4 hours per week to maximize her income.

might be wrong srry

ääödlgblbwbwädbdvfvo. kkdööä do düMB uh

HURRY PLEASE On a coordinate plane, point A is 2 units to the left and 5 units up. Point B is 5 units to the right and 5 units up. What is the distance between the points? Point A is located at the point . Point B is located at the point . The distance between the points is units.

Answers

Answer:

point A is located at (-2,5) and point B is located at point (5,5), the distance between the points is 7 units. hope this helps!

The distance between the points will be 7 units. Point A is located at the point (-2, 5). Point B is located at the point (5, 5).

What is distance between points?

The formula of distance between two points is A(x₁, y₁) and B(x₂, y₂) is given by: [tex](A,B) = \sqrt{( x_{2} - x_{1} )^2 + ( y_{2} - y_{1})^2}[/tex]

We have,

Point A (-2, 5) and Point B (5, 5).

i.e.

x₁ = -2,  x₂ = 5 and

y₁ = 5,   y₂ = 5

Now,

Using the above mentioned formula of distance,

i.e.

Distance [tex](A,B) = \sqrt{( x_{2} - x_{1} )^2 + ( y_{2} - y_{1})^2}[/tex]

So,

Substituting values,

Distance [tex](A,B) = \sqrt{(5-(-2) )^2 + ( 5-5)^2}[/tex]

Now, simplify,

Distance [tex](A,B) = \sqrt{(7)^2 + 0}[/tex]

We get,

Distance [tex](A,B) = 7[/tex]

So, the distance between AB is 7 units.

Hence, we can say that the distance between the points will be 7 units. Point A is located at the point (-2, 5). Point B is located at the point (5, 5).

To know more about distance between the points click here

https://brainly.com/question/15958176

#SPJ2

Woman .......Kam hir​

Answers

What did he sayyyyyyy

Please help me due today?

Answers

7x - 1 = 4x + 8
3x = 9
x = 9

ABD
7(3) - 1
21 - 1
20

DBC
4x + 8
4(3) + 8
12 + 8
20

3x - 17 + x + 40 + 2x - 5 = 180
6x + 18 = 180
6x = 198
x = 33

3(33) - 17
99 - 17
82

33 + 40
73

2(33) - 5
66 - 5
61

Write an equation in slope-intercept form for the line that passes through (4, 1) and is parallel to the line y-1/4x+7


Answer and I will give you brainiliest

Answers

Answer:

y=¼x

Step-by-step explanation:

Parallel lines have the same slope

The slope of the given line is ¼,thus,

y-¼x+7=0

y=¼x-7

Now using the point-slope form y-y1=m(x-x1)

y-1=¼(x-4)

4y-4=x-4

4y=x-4+4

4y=x

y=¼x

please report my account


please
and I got a new rank

I am sad because I am genius in another id​

Answers

it's good to get a new rank

like you seems to be genius in another id be genius In this id too

its not a misfortune to be sad

Answer:

it is good

Step-by-step explanation:

you dont have to be sad

Help! I think this is correct but im unsure

Answers

The answer is the second option you are correct !
Yeah your right !!!!!!

Brenda is selling two different not mixes as snacks. Mix A has 3 oz. of cashews and 7 oz. of almonds. Mix B has 6 oz. of cashews and 5 oz. of almonds. Which inequalities represent the number of mix A mixes, and mix B mixes, B, Brenda can make if she has 72 oz. of cashews and 84 oz. of almonds.​

Answers

Answer:

Mix A ≤ 12

Mix B ≤ 12

Step-by-step explanation:

Mix A requires 3 oz of cashews and 7 oz of almonds

Mix B requires 6 oz of cashews and 5 oz of almonds

If Brenda makes just Mix A using the available 72 oz of cashews and 84 oz of almonds

With 72 oz of cashews, she would potentially make 72/3=24 Mix A snacks

With 84 oz of almond, she would potentially make 84/7=12 Mix A snacks

Since she would require both cashews and almonds to make Mix A snacks, she would be able to make 12 mix A snacks

Inequality would be:

Mix A ≤ 12

If Brenda makes just Mix B using the available 72 oz of cashews and 84 oz of almonds

With 72 oz of cashews, she would potentially make 72/6=12 Mix B snacks

With 84 oz of almond, she would potentially make 84/5=16 (approximately) Mix B snacks

Since she would require both cashews and almonds to make Mix B snacks, she would be able to make 12 mix B snacks

Inequality would be:

Mix B ≤ 12

Answer:

3A+6B≤72

7A+5B≤84

Step-by-step explanation:

Just took the exam and got it right

Find the value for x and y for the triangle. Show work.

Answers

Answer:

tan60=p/b

tan60=12/x

x=37.5

now taking sin

sin60=p/h

sin60=12/y

y=(-40) but as length can be negative so

y=40

PLS HELP DUE VV SOON FOR 13

Answers

Answer: A

Step-by-step explanation: the median is 39.7 (you can round to 40) and the median line marks around there

I don't know if I'm right or not. I think it's C, but I'm not too sure.

Answers

Answer:

its c

Step-by-step explanation:

Answer:

Ya its c

Step-by-step explanation:

It's correct u can cliuck or do it without any fear best of luck

Shiloh needs to randomly select one of the six days between Sunday and Friday. Which simulation tools could she use in this situation?

((( MULTIPLE ANSWERS))



A-a spinner divided evenly into 12 sections, with each section a different color

B-two coins

C-a six-sided number cube

D-a bag containing 12 chips in two different colors, with six of each color

E-two full suits from a standard deck of cards

Answers

Answer:

The correct answer is C. She could use a six-sided number cube.

Step-by-step explanation:

Since Shiloh has 6 options from which to choose a unique alternative, it can be stated that her eligibility ratio is 1/6. Thus, since the dice has 6 numbers and only 1 will come up face up, the option of the dice is the most appropriate to make her decision.

On the other hand, the other options do not contemplate 6 possibilities but 12, 2, 12 and 13 possibilities respectively, with different possible alternatives, which does not give an equitable distribution of possibilities between each option.

Answer:

Behold!

Step-by-step explanation:

the ratio of dogs to cats is 5 to 3, if there are 14 more dogs than cats, how many animals are there altogether?​

Answers

Answer:

35

Step-by-step explanation:

D/C=5/3, so 3D=5C. 14+C=D is the second equation, so now you can solve for each.

3D=5C, 14+C=D
D=(5/3)C
14+C=(5/3)C
14=(2/3)C
C=21

21+14=D=35

So there are 21 cats and 35 dogs, or 56 total animals.

the ratio of strawberries to grapes in the fruit salad is 3:9. the ratios of strawberries to honey dew is 6:14. if there 36 grapes. how many strawberries?

Answers

Answer:

12 strawberries

Step-by-step explanation:

Represent strawberry with S, grape with G and honeydew with H

Given

[tex]S : G = 3 : 9[/tex]

S : H = 6 : 14

Required

Solve for S when G = 36

To do this, we make use of the first ratio

[tex]S : G = 3 : 9[/tex]

Substitute 36 for G

[tex]S : 36 = 3 : 9[/tex]

Convert to fractions

[tex]\frac{S}{36} = \frac{3}{9}[/tex]

[tex]\frac{S}{36} = \frac{1}{3}[/tex]

Multiply both sides by 36

[tex]36 * \frac{S}{36} = \frac{1}{3} * 36[/tex]

[tex]S = \frac{1}{3} * 36[/tex]

[tex]S = \frac{36}{3}[/tex]

[tex]S = 12[/tex]

Hence, there are 12 strawberries

GIVING BRAINLIEST

In the coordinate plane, the points A (7, 5), B(-10, -9), and C(4, - 11) are reflected over the x-axis to the points A, B', and C', respectively. What are
the coordinates of A', B', and C'?

Answers

Answer:

A (-7,5) .  B (10,9) .      C (-4,-11

Step-by-step explanation:

An MP3 player can store store less than 240 songs. Which inequality represents the possible number of songs sthe MP3 player can store?

HELP!!!

Answers

Answer:

x ≤ 239

Step-by-step explanation:

1.

Ginger works at the local putt-putt golf course. Her

weekly wages, y, are $7.25 per hour, x, she works.

Which equation best represents this relationship?

Answers

Answer: The equation that best represent this relationship is y=7.25x

Step-by-step explanation:

Chuck is taking his kids to the store to buy new converse shoes. he is given a choice of high tops or low tops. They may also choose from the colors red, gray, black, or pink.

What is the probability that his kids will choose a low top shoe that is gray or pink?


A. 1/4

B. 1/2

C. 1/3

D. 3/4

Answers

Answer:

B. 1/2

Step-by-step explanation:

The kids are given 4 options (grey, pink, red, black)

pink and grey are 2 options out of the 4 so 2/4

or 1/2 probability that they will choose the grey or pink shoes

plz mark me brainliest

How many four digit numbers can be formed using the digits 7, 6, 5 and 2 if
repetitions are allowed?​

Answers

Answer: The number of four digit numbers can be formed using the digits 7, 6, 5 and 2 = 256

Step-by-step explanation:

Given digits = 7, 6, 5 and 2

If repetition is allowed , we can use Fundamental principal of counting.

By this principal , total four digit numbers can be formed = 4x 4x4 x 4   [∵ choice for each place = 4 ]

= 256

Hence, the number of four digit numbers can be formed using the digits 7, 6, 5 and 2 = 256

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