What is the solution to the system of equations? 3x - 4y = 22 -9x + 4y = 38​

Answers

Answer 1

Answer:

[tex]3x - 4y = 22 - - - - (i) \\ - 9x + 4y = 38 - - - - (ii) \\ from \: (i) \\ 4y = 3x - 22 - - - - (iii)\\ substitute \: for \: 4y \: in \: (ii) \\ - 9x + (3x - 22) = 38 \\ ( - 9 + 3)x = 38 + 22 \\ - 6x = 60 \\ x = \frac{60}{ - 6} \\ x = - 10 \\ \\ substitute \: for \: x \: in \: (iii) \\ 4y = (3 \times - 10) - 22 \\ 4y = - 30 - 22 \\ 4y = - 52 \\ y = \frac{ - 52}{4} \\ y = - 13[/tex]


Related Questions

What do 5a represent in f(x)=5ax​

Answers

Answer:

[tex]y = mx + c \\ f(x) = 5ax[/tex]

By comparing both the equation we get that,

5a represent a slope in f(x)

Help pleasee! Thank uu

Answers

Answer:

The answer is the 2nd option

Step-by-step explanation:

..................the y intercept

What is the image of A(1,-3)?

use the following transformations with each question:

Reflection across the x-axis
Reflection across the y-axis
Reflection across the y = x
Reflection across the y = -x

Answers

Step-by-step explanation:

Given A(1 , -3)

Reflection across the x -axis

= A'( 1 , 3)

Reflection across the y-axis

= A'( -1 , - 3)

Reflection across the y = x

= A' ( -3 , 1)

Reflection across the y = - x

=A'( 3 , - 1)

Hope it will help ☺

PLEASE help i have tried to do this many times but still don’t understand

Answers

Answer:

33 is the correct answer

I need help in this

Answers

Answer:

x = 4

Step-by-step explanation:

Since the rectangles are similar, use a ratio.

15/6 = 10/x

or

6/15 = x/10

I will use 15/6 = 10/x to solve this problem, but both ratios should work to solve this problem.

15/6 = 10/x

Cross Multiply:

6(10) = 15x

Solve:

60 = 15x

x = 4

Pls help me with this question.

Answers

Answer:

x=1

Step-by-step explanation:

[tex] \frac{5(x + 6) - 15(2 - x)}{3x - 1} = 10 \\ [/tex]

[tex] = > 5(x + 6) - 15(2 - x) = 10(3x - 1)[/tex]

[tex]5x + 30 - 30 + 15x = 30x - 10[/tex]

[tex] = > 20x = 30x - 10 \\ = > 20x - 30x = - 10 \\ = > - 10x = - 10 \\ = > x = 1[/tex]

hope it helps:)

Start by expanding the numerator.

5x+30-30+15x / 3x-1 = 10

Simplify.

20x / 3x-1 = 10

Multiply both sides by the denominator.

20x = 30x-10

Divide both sides by 20.

x = 3/2-1/2

Subtract the fractions.

x = 1

evaluate 1/6t + 5/18 when t = 1/3

1/6(__)+5/18=_/_+5/18​

Answers

Answer:

[tex] \frac{1}{6} t + \frac{5}{18} \\ (\frac{1}{6} \times \frac{1}{3} ) + \frac{5}{18} \\ \frac{1}{18} + \frac{5}{18} = \frac{(1 + 5)}{18} \\ \frac{6}{18} = \frac{1}{3} [/tex]

1/3 is the right value of the given equation.

Sara sold 461 tickets for a school play. Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.How many adult tickets and how many student tickets did Sara sell?

Answers

Answer:

220 student and 241 adults

Step-by-step explanation:

x+y=461

3x+4y=1624

y=-x+461-----> 3x+4(-x+461)=1624

                              -x+1844=1624

                             +x  -1624

                                   x=220

3(220)+4y=1624

660+4y=1624

4y=964

y=241

There are 241 adult tickets and 220 student tickets did Sara sell.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Sara sold 461 tickets for a school play.

And, Student tickets cost $3 and adult tickets cost $4. Sara’s sales totaled $1624.

Let number of adult tickets = x

And, Number of student tickets = y

Hence, We get;

⇒ x + y = 461  .. (i)

And, 4x + 3y = 1624 .. (i)

Multiply by 3 in (i);

⇒ 3x + 3y = 1383  .. (iii)

Subtract form (ii);

⇒ x = 241

And, From (i);

⇒ x + y = 461

⇒ 241 + y = 461

⇒ y = 461 - 241

⇒ y = 220

Thus, There are 241 adult tickets and 220 student tickets did Sara sell.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3

Evaluate the expression when a = 17 and c = 7.
²
a+c
a-2c

Answers

A+c
17+7=24
a-2c
17-2(7)=3

Answer:

Step-by-step explanation:

a + c = 17 + 7 = 24.

a - 2c = 17 - 2(7) = 3.

Let x denote the number of broken pencils in a randomly selected 50-count box from a local office supply store. The variable x has the
following probability distribution:


a)
0.82; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.82 from the
mean
b)
0.31; if we were to select many boxes of pencils randomly, we would expect about 0.31, on average, to contain broken pencils
c)
0.65; if we were to select many boxes of pencils randomly, the number of broken pencils would typically vary about 0.65 from the
mean
d)
0.52; if we were to select many boxes of pencils randomly, we would expect about 0.52 to have no broken pencils
e)0.13; if we were to select many boxes of pencils randomly, we would expect about 0.13, on average, to contain broken pencils

Answers

Answer:

0.82

Step-by-step explanation:

I literally took the test

Evaluate y=−4x+3, for x=4.

Answers

Answer:

y = -13

Step-by-step explanation:

Given

x = 4

y = - 4 * 4 + 3

= - 16 + 3

= - 13

Hope it will help :)

You run the same speed every day. Saturday you ran 4 miles in 32 minutes. On Sunday you ran 3 miles in m minutes.
36 minutes
12 minutes
28 minutes
24 minutes

Answers

Answer: 24 minutes, all you have to do is 4/32 which equals 8 then you do 3x8 which equals 24 :)

Step-by-step explanation:

4 miles =32

3 miles=m

32×3=4m

96=4m

m=96/4

=24

Can the triangles be proven similar and how

Answers

Answer:

yes

Step-by-step explanation:

Another one!

I don´t get how to solve it please explain

Answers

Answer:

B. 16.9

Step-by-step explanation:

Reverse Pythagoreans theorem C^2 - B^2 = A^2 so

7^2 - 5^2 = c^2 and it comes out to

49-25 = 24 the square root of that is 4.9 (rounded)

But we are lookign for the perimeter so

4.9 + 7 + 5 = 16.9

Edith leaves her home at 11:50 am.
She travels 75 miles at an average speed of 30 mph.
At what time does she finish the journey.

Answers

Answer:

2:30 minutes her journey finish.

distance / speed = time

75 / 30 = 2.5 hours :

it means  2:20 pm they finish her journey

Step-by-step explanation:

Brainliest?

Answer:

2:20 pm

Step-by-step explanation:

30 mph=1 mile every 2 minutes

75 miles x 2 =150 minutes or 2 hours and 30 minutes

11:50 am + 2 hours and 30 minutes = 2:20 pm

the post for Nancy's gazebo form a regular hexagon what is the measure of the angle formed at Each corner of the gazebo ​

Answers

Answer: 120 degrees, the total is 720 degrees, so that divided by 6 is 120

Gerri is working on a project that need to be finish by Friday so far she has completed 1/3 of the project How much of the project does she have to finish By Friday . Answer is . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .

Answers

Answer:

Part of incomplete work = 2/3 of project

Step-by-step explanation:

Given:

Part of work completed = 1/3 of project

Find:

Part of incomplete work

Computation:

Part of incomplete work = 1 - Part of work completed

Part of incomplete work = 1 - 1/3

Part of incomplete work = 2/3 of project

SOMEONE PLEASE HELP ME IM STRESSED OUT ILL GIVE OUT BRAINLIEST PLEASE DON’T ANSWER IF YOU DON’T KNOW THANK YOU

Answers

Answer:

$88

Step-by-step explanation:

first, you find 20% of 57 which = 11.4

then subract it with 57 which looks like 57-11.4 = 45.6

= 45.6

first, you find 20% of 53 which = 10.6

then subract it with 53 which looks like 53-10.6 = 42.7

= 42.4

then you add them both  which = 45.6+ 42.4= 88

I will mark brainliest thanks

Answers

-7, -2. It is the same y but opposite x

Answer:

B

Step-by-step explanation: it All Becomes Negative if it is Reflected

Can someone help me, if u can ty bless you.

Answers

Answer : 2/3 or 0 R 6

Step-by-step explanation:

hope it helps

. An amusement park bought some arcade games that cost $2,000 each and photo booths that cost $3,200 each. A total of 22 of both types of machines were bought, for $53,600. How many arcade game machines did the park buy ?

Answers

Answer:

maybe 900 arcade games..good luck

What it 12/14<9=
I really need help on this :

Answers

Answer:

This isn't a real question... but i can explain what you gave. 12/14 is less than 1, so it is less than 9.

Bryan and Yuan started out at their houses and are biking towards each other. Bryan started
out first, and has already gone 5 miles. He bikes at a constant speed of 3 miles per hour.
Yuan just left, and rides at 4 miles per hour. When the boys meet halfway between their
houses, they will continue to the park together. How long will that take? How far will each
boy have ridden?

Answers

Answer:

Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

Step-by-step explanation:

Given that Bryan and Yuan left their homes at different periods of time and at different speeds, to determine how long they will meet and how much distance they will have traveled, the following calculation must be performed:

B = 5 + (3X)

Y = 4X

B = 5 + 3x2 = 11

Y = 4x2 = 8

B = 5 + 3x3 = 14

Y = 4x3 = 12

B = 5 + 3x4 = 17

Y = 4x4 = 16

B = 5 + 3x5 = 20

Y = 4x5 = 20

Therefore, Bryan and Yuan will meet after 5 hours, having traveled 20 miles each.

define values and explain
their importance​

Answers

Answer:

Values

Step-by-step explanation:

Values provide standards of competence and morality. These are ideas that we hold to be important. They govern the way we behave, communicate and interact with others. They transcend specific objects, Situations or persons.

Using the formula Distance = rate . time, find the distance covered by an airplane flying at 300 mph for 3 hours.

Answers

900. If your formula is correct, you only have to multiply 300 by 3

A skateboarder is shown below.
we
z
At which point is the skateboarder's potential energy the greatest?
Point X
Point Y
Point W
Point Z

Answers

I think the answer you’re looking for is
Point Y
-I hope this helps! Enjoy the rest of your day

Answer:

answer is w

Step-by-step explanation:

A bottle of 150 vitamins costs $5.25. If the cost varies directly with the number of vitamins in the bottle, what should a bottle of 250 vitamins cost?

Answers

Answer:

$8.75

Step-by-step explanation:

Set up a proportion where x is the cost of a bottle with 250 vitamins:

[tex]\frac{150}{5.25}[/tex] = [tex]\frac{250}{x}[/tex]

Cross multiply and solve for x

150x = 1312.5

x = 8.75

So, it will cost $8.75 for a bottle with 250 vitamins

How many feet are in 47 yards?

Answers

141 feet sorry if I’m wrong


I just need the answer to check and see if i got mine right.
Use the distributive property and combining like terms to simplify the expression:
6 (2+x+8)
The answer i got is: 60+6x
Am i right?

Answers

yes you are correct.........

In the following figure, find the value of x

Answers

Answer:

18

Step-by-step explanation:

All the angles added up will equal 180 degrees (recall a straight line has an angle of 180 degrees).

Therefore, you can create the following equation and solve for x:

[tex]2x+3x+2x+3x=180\\10x=180\\x=\frac{180}{10}\\x=18[/tex]

Answer:

x=18

Step-by-step explanation:

equation: 90=2x+3x

Other Questions
1. Many teenagers lost their lives in War World I.2.Nationalism was a major reason young man enlisted.3.The United States was one of the last Allies to join World War I.Respond to the following prompt: Choose one of the three topic sentences and explain what three different types ofevidence you would choose to develop it and give examples using evidence fromthe texts we have read. write a quadratic polynomial, sum of whose zeroes is 2 and product is -8 How fast must a train accelerates from rest to cover 518 m in the first 7.48 s? 4. a. Write a story to represent the equation 15 1/9 : _______. Solve the equation and complete the story.b. What multiplication equation shows that your division is correct?_________________________. This is due tomorrow. I need your help. SIMPLE INTERESTInterest = ?Principal = $1450Interest rate = 9%Time = 5 years Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct? * QUESTION 23Tamara has $50 to spend on craft supplies. She spends $30plus a 5% tax at the store. How much change should shereceive? Pls help me It would help alot Do you think that Canada's point system for immigration is fair? Why or why not? 3.5 2.29 round to nearest tenth help plz I really need to finish BRAINLYYYYYMarcus can choose between a monthly salary of $1,750 plus 5.5% of sales or $2,400 plus 3% of sales. He expects sales between $5,000 and $10,000 a month. Complete the explanation to show which salary option he should choose based on how much he could make. if 12% = 54what does 100% = Brainliest to first correct answer :) Identify and describe the three ways the mutations affect organisms Cooking, instead of take out, appears to be cheaper. The linking verb is _____________.a. cheaperb. insteadc. cookingd. appears pls help asap!!!! tysm guys!! 1 7/8 times 4/5 simplified!!! What is the solution to this equation?-0.20% 20) = 44-xA x= -90B. X=-50C. x = 50D. X=90 Find the equivalent expression.3+5x4y+2y8x How do i get the answer x= 3, -1 for equation (3/x^2)+ 2/x =1