Mathematics High School

What is the value of x in the solution to this system of equations?



3x - 5y = 22

y = -5x + 32

Answers

Answer 1

Answer:

Replace all occurrences of y with −5x+32 in each equation.

28x−160=22

y=−5x+32

Solve for x in the first equation.

x=13/2

y=−5x+32

Replace all occurrences of x with 13/2 in each equation.

y=−1/2

x=13/2

The solution to the system is the complete set of ordered pairs that are valid solutions. ( 13/2, −1/2 )

The result can be shown in multiple forms. Point Form: (13/2,−1/2)

Equation Form:

x=13/2, y=−1/2

Step-by-step explanation:

Answer 2

The value of x in the solution to given system of equations is 13/2

Here,

Given system of equations are;

3x - 5y = 22 -----(i)

y = -5x + 32 -----(ii)

What is system of equations?

A system of equations is a set of two or more equations with the same variables.

Now, in given system of equations put the value from (ii) in (i), we get

⇒ 3x - 5 (-5x + 32) = 22

⇒3x + 25x - 160 = 22

⇒28 x = 182

⇒ x = 182/28

⇒ x = 13/2

Hence, The value of x in the solution to given system of equations is 13/2.

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Related Questions

what is 20% of 24cm?

Answers

Answer:

20% of 24cm=20/100×24=4.8cm

Answer:

4.8cm

Step-by-step explanation:

24x20%=20×0.20=4.8cm

Pls help me I will mark the best answer with brainliest and give 50 points​

Answers

Answer:

A. 31 and 19 feetB. 589 square feet

Step-by-step explanation:

Part A

Perimeter formula:

P = 2(l + w)

Given

l = w + 12P ≤ 100

Substitute l in perimeter formula and solve for w:

2(w + 12 + w) ≤ 1002w + 12 ≤ 502w ≤ 38w ≤ 19

Maximum width is 19 feet and the length is 19 + 12 = 31 feet. In this case all fencing will be used.

Part B

With l = 31 and w = 19, the area is:

A = lw A = 31*19 = 589 square feet

Answer:

A = 31*19 = 589 square feet:

sixteen less than a number squared​

Answers

Answer:

16-x^2

Step-by-step explanation:

What is 40 dollars taxed by 8%?​

Answers

Answer:

Before Tax Price: $40.00

Sale Tax: 8.00% or $3.20

After Tax Price: $43.20

Step-by-step explanation:

Question 4 of 5
Solve y3 = 125.
O A. y = 15
O B. y = 25
O C. y = 5
O D. y = 11.2

Answers

Answer: C

Hope this helped! :)

Answer:

the answer is c. y=5 =5×5×5

Can someone please help ?!

Answers

The answer is the second option y=-3x-2

Please answer for Brainiest.

Answers

Socks: 3.98 and 1.99 = 5.97
Jacket: 34.99
Shirt: 7.50
Clothing total: 48.46
Tax: 3.15

Total paid: $51.61

hi i have 5 mins to turn in please help

Answers

Answer:

x=8

Step-by-step explanation:

#10) Cross multiply and divide to solve for x*
2/5 = X/70

Answers

Answer:

28=x

Step-by-step explanation:

2/5=x/70

(70/1)(2/5)=x/70(70/1)

here you cancel 70 into 5 to get 14 and on the other side cancel both the 70s

14*2=x

28=x

Answer:

28

Step-by-step explanation:

multiply 2 * 70 then divide by 5

Aiden has two toy cars that measure 2/1 4 inches, three that measure 2/3 8 inches and one that measure 2/7 8 inches one that measure 2/3 4 inches.

Answers

Answer:

thats sucks

Step-by-step explanation:

What is the slope of the line that passes through the points (-3,-9) and
(-4,-9)?

Answers

Answer:

y= -1x

Step-by-step explanation:

ABCD is a parallelogram. Find the indicated measure:

Answers

Answer:

12 12 12 12 12 12 12 12 12 1 2 12 12

Anyone help me with this please

Answers

Answer: B.   4x + 17 = 23

Step-by-step explanation:

There are 4 x's, a 17, and it shows that the total is 23.

4 x's = 4 × x = 4x

4x + 17 = 23

Hope I helped!

Answer:

Answer would be B.

Step-by-step explanation:

pls help find the value of x

Answers

I think the answer is 95
Explanation = first add 100 with 45 you will get 195 then subtract 180 with 195 then you will get 95. 95 is the answer
You have to use SOH the
Sin=O/H
H=O/Sin
H=100/Sin(45)
H=141.4213
X=141ft

43<9x-2

Answer please ..?

Answers

Answer:

x > 5

Step-by-step explanation:

. Bryon competes on the school debate team. He won 0.40 of the debates in which he participated. Which statement is not true about Byron's debates?

Answers

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Since Bryon won 0.40 of his debate, this means that he won 40% of his debate. 40% converted to fraction equals 40/100 = 2/5.

Since he won 40%, it means that he lost (100% - 40%) = 60%. He lost 3/5 and won 2/5.

HELPP MEE PLSSS HELPP

Answers

Answer:

angle N is 79, angle K is 22, angle P is 81, angle D is 76

Step-by-step explanation:

all of the angles should add up to 180 degrees so add the two angles you have and subtract them from 180

Answer:

KGH is similar

Step-by-step explanation:

using the triangle sum theorem

Someone please help with my brothers homework, i'll give you a five star rating and the brainliest answer! :D​

Answers

Answer:

your answer would be 450

Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his average to 80%?

Answers

i think it’s 94 but i don’t know

Mac must get 90 on the eighth exam to raise his average to 80%.

What is average?

The average is calculated as the product of all values divided by all possible values. It can also be described as mean. The mean in statistics is the average value for the particular sample or collection of data. It is determined by dividing the total number of observations by the total number of observations.

Given:

Mac has taken seven math exams this year.

His average mark is 78%.

Let x be the required score.

To find the mark to raise his average to 80%:

According to the question,

78(7) + x  = 8(80)

546 + x = 640

x = 640 - 546

x = 90

Therefore, the required mark is 90.

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Will give brainliest to first correct answer! find missing length indicated

Answers

Answer:

b

Step-by-step explanation:

I NEED HELP ASAP!!!!!

Answers

Answer:

D

Step-by-step explanation:

there are 5 piles

dividing 100% by 5 gets 20%

some piles have less than 50 in it, so my answer would be D

Hope this helps, but I would wait for one more answer. I'm not quite sure about mine, but I think D would the most likely.

Let me know if it's wrong!

Twice the difference of a number and 10 is at most 20

Answers

Answer: 2(x-10) ≤22.

How do I do this O-O

Answers

Answer:

1)  x intercept-> 24

y intercept-> -6

2) slope-> 1/4x

3) i posted the screenshot in the description

4) -20 cups-   -1 dollar

(20*.25)-6

-30 cups- 1.5

-40 cups- 4 dollars

5)- $1 -> 4

$10->40

$100-> 400

Step-by-step explanation:

hope this helps!

What is the name of the transformation in which each point on a figure is turned through a given angle and direction around a given point?​

Answers

Answer:

rotation

Step-by-step explanation:

A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.

Therefore, the fixed point is called the center of rotation.

What are the angles?

Angles are formed when two lines intersect at a point. The measure of the 'opening' between these two rays is called an 'angle'.

A rotation means that the transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point.

So,the fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.

Hence, the fixed point is called the center of rotation. The amount of rotation is called the angle of rotation and it is measured in degrees.

To know more about the angle

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PLEASE HELP ASAP ILL GIVE YOU 30 POINTS Jamie is excited for spring break this year. Her family is planning a vacation! She fully intends to take 20 pictures each day. checking her phone before leaving she notices she has 75 pictures already on the phone.

Given that the vacation will last a full seven days and Jamie's phone can hold a total of 200 pictures. How many pictures will she need to delete an order to make enough room in her phone for vacation photos?

Answers

The answer is 15
Since 20 times 7 is 140 and 140+75 is 215
Take 215-200 you get 15

Answer:

15 photos

Step-by-step explanation:

one can start off by first seeing how many photos will be taken on the vacation. We can do that by multiplying the days with how many photos will be taken for each- so 20×7= 140. Then we can take the total amount of photos the phone cam hold-200 subtract what we already have 200-75= 125 thats how much space if left but we need more (140). So the. we can start making quick guesses by taking 5 from 75 and see what we get then taking another 5 and another if needed we get 60 that finally gives when subtracted from 200- 200-60=140 the amount of space we need. Then finally we can just do 75-60 to get the total amount of photos we must delete. 75-60= 15

Which of the following is an increasing exponential function whose y-intercept is 50?
y = (2)* + 50
y = 50x - 4
y = 50(1.4)*
y = 500.05)*
(The little star things are x in exponent form)

Answers

Y=50(1.4)*

Equations 1,3,4 are exponential (the 2nd isn’t so it’s out)

Y intercept means x is set at 0 so start testing
For y=2*+50 when x=0 y=1+50=51
(Any number raised to a 0 exponent is 1)
For y=50(1.4)* y=50(1) so y=50 and that is what you are looking for

At a sale this week, a desk is being sold for $133 . This is 35% of the original price.
What is the original price?

Answers

Answer:

392.35

Step-by-step explanation:

35% + 35% is 70 % so 133 +133 is 70 % witch is 269.

next we need to figure out 30 percent and they give us 35 % so. you add to zeros to 30 because percentage is out of 100 and there are 2 zeros in 100. so it look like this

3000 ÷ 133 = 22.56 is 30% of 133

70% + 30% = 100%

269 + 22.56= 291.56 is your answer

Someone please explain I have zero clue how to answer this! ​

Answers

Answer:

x=62

Step-by-step explanation:

152-90(because of the right angle)

the 28 is a red herring

what is the percentage of sugar in the syrup made of 10kg of water and 15kg of sugar?

I GIVE BRAINLIEST

Answers

Answer:

10 kg water, 2 kg of sugar.....total of 12 kg of syrup

percentage of sugar is : 2/12 = 0.166 rounds to 0.17 = 17%

Step-by-step explanation:

5/15x100

=33.333

Rounded that’s 33.3

A game controller that was $25 last year is $37 this
year. What is the percent of change in the price of the
game controller?

Answers

67,57 percent is the answer kakakakaka
The controller price went up 48%

Change in price is new price minus old price
37-25=12

Change in price over old price gives percent change
12/25= 0.48 which is 48%
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