Solve this system. Write your answer as an ordered pair. -5x + y = -3 3x - 8y = 24

Answers

Answer 1

Hello there, this is how we will solve your problem.\

here is the equation you gave us.

[tex]{\huge{\boxed{\mathbb{EQUATION}}}[/tex]

[tex]\begin{bmatrix}-5x+y=-3\\ 3x-8y=24\end{bmatrix}[/tex]

we can isolate [tex]x[/tex] and say [tex]x=\frac{-3-y}{5}[/tex]

Now here is our equation, [tex]\begin{bmatrix}3\left(-\frac{-3-y}{5}\right)-8y=24\end{bmatrix}[/tex] After we simplify it we get [tex]\begin{bmatrix}\frac{9-37y}{5}=24\end{bmatrix}[/tex], solve this and we get that [tex]y=-3[/tex], Before we said [tex]x[/tex] equals [tex]-\frac{-3-y}{5}[/tex], So now we can plug in our value that [tex]y[/tex] equaled, and now we have [tex]\frac{-3-(-3)}{5}[/tex]. Two negatives equal a positive and we get that [tex]x=0[/tex].

_________________

[tex]y=-3[/tex] [tex]x=0[/tex]

Related Questions

PLS HELP WILL MARK YOU BRAINLIEST, NO FAKE ANSWERS!!

Answers

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality

Need answer ASAP thanks

Answers

Answer:

0.05

Step-by-step explanation:

hope this helps! :D

you have a miraculous everybody!! <3

Answer: 0.50

Step-by-step explanation:

The ^-2 means to move the decimal 2 times to the left.

5 * 0.10 = 0.50

Name the marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!

Answers

Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.

angle KJL and LJK

is the answer i think

A class is made up 15 girls and 12 boys. If a group is made up 3 girls and 3 boys, then how many groups can be created?

this is a COUNTING PRINCIPLE problem :")

Answers

4 groups of 3 girls and 3 boys. Then there would be an extra three girls
There can be 5 boy groups and 4 girls groups so a total of 9 groups can be created.

What type of triangle is ACD?










Thank u

Answers

Answer:

equilateral triangle

Step-by-step explanation:

B. equilateral triangle

Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.

Answers

Step-by-step explanation:

6y>0-15 collect like term

6y=-15 calculate the difference

y=-15/6 convert to lowest form

y=-5/2

i hop it helps you ❤

[tex]\sqrt{x} ^{2}-\sqrt{27}[/tex]

Answers

Answer:

[tex]x - 3\sqrt{3} [/tex]

Study hard!

Brainliest please thank you!

if you run 4 1/2 miles in three quarter of an hour, how many miles would you run in two thirds

Answers

Answer:4

Step-by-step explanation: each quarter of an hour is 1.5 miles they both can go into 12 so if you multiply 2*4 and 3*4 you get 8/12 and if you multiply 3*3 and 4*3 you get 9/12 then you subtract 9/12 by 8/12 to get so 1/12=1/2 miles so you would subtract 4 1/2 by 1/2 to get 4

[tex](-\frac{3n}{18n^{2} } )^{-18} * (-6n)^{-15}[/tex]

Answers

[tex]\left( - \dfrac{3n}{18n^2}\right)^{-18} \times(-6n)^{-15}\\\\\\= \left(-\dfrac{1}{6n} \right)^{-18} \times \dfrac{1}{(-6n)^{15}}\\\\\\=\left[(-6n)^{-1}\right]^{-18} \times \dfrac 1{(-6n)^{15}}\\\\\\=(-6n)^{18} \times \dfrac 1{(-6n)^{15}}\\\\=(-6n)^{18-15} \\\\=(-6n)^3\\\\=-216n^3[/tex]


Shape 1 and shape 2 are plotted on a coordinate plané. Which statement about the shapes is true?

Answers

Answer:

We need to see all of the choices, but they are congruent and reflected and rotated.

Step-by-step explanation:

Stephanie has a -$40 balance on her credit card. She makes two additional charges to pay $20 for gas and $25 for parking. Then she makes a credit card payment of $30. What is her remaining balance?​

Answers

-40 -20 -25 -30 = -$115

I need help on this last question

Answers

Answer:

They are both correct but they rounded to different places. Scrooge rounded to the nearest whole number while Bon rounded to the nearest tenth.

Step-by-step explanation:

Scrooge rounded up to the next whole number which was three because the tenth place value was 5 or greater.

While Bob on the other hand rounded to the nearest tenth. Which resulted in the number going down because the number in the hundredth place value was less than 5.

Find the magnitude of the vector (4,9).
Write your answer in simplified radical form.

Answers

Step-by-step explanation:

4^2+9^2=97

Magnitude=sqrt(97)

In simplified radical form, the magnitude of the vector (4, 9) is represented as √97.

How to find the magnitude of a vector?

To find the magnitude of a vector (a, b), you can use the formula which is expressed as:

Magnitude = √(a² + b²)

Given the vector (4, 9), let's calculate its magnitude as shown below:

Magnitude = √(4² + 9²)

Magnitude = √(16 + 81)

Magnitude = √97

So, the magnitude of the vector (4, 9) is √97 in simplified radical form.

Learn more about magnitude of a vector on:

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Order them from least to greatest

5(exponent 0), 5(exponent 4), and 5(exponent -5)

Answers

5^-5, 5^0, 5^4

Explanation:

5^-5 would end up being in the negatives,

5^0 would end up equaling 5 or 0

5^4 is automatically more than 5^0 because 4 is greater than 0.

Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?

Answers

Answer:

26%

Step-by-step explanation:

Well, we need to find what percent 3.25 is of 12.50.

12.50*x=3.25

3.25/12.50=.26

26% is saved.

You have two different savings accounts. For account A, the interest earned after 18 months is $12. If the interest rate is 3.2% for account A, how much is the principal? Give the equation and solution you used to solve this problem.

Answers

Answer:

P = $250

Step-by-step explanation:

Interest (I) = Principal (P) x Interest Rate (r) x Time (t, in years)

I = Prt

12 = P(.032)(1.5)

12 = .048P

12/.048 = P

P = 250

The department of education decides to require an additional 2 tests per year of standardized test for all 10th graders. Would this equation be linear or exponential?
Group of answer choices

Exponential

Linear

Answers

It would be linear because it goes up each year by two.
If this is right may I have brainliest?

Rebecca savings account pays a simple annual interest rate of 2.5%. suppose she deposits $4280 in the account and makes up no additional deposits or withdrawals for 4 years. What will the total value of the account be after 4 years?

Answers

Answer 4708
I Hope This Helps

Answer: 4708

Step-by-step explanation:

That's what we know:                  

Plan and substitute:

Work out the item or remainder:

Work out the aggregate or contrast:

Work out the item or remainder:

Reply:

These are just the step sorry couldn't find any way to help so I recommend to use gauth math but the thing is gauth math some of the answer is incorrect so tried to use it if it help

What is the length of side a?

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

According to given figure, The Triangle BDC is a right angled Triangle (Angle D = 90°)

So, we can apply Pythagoras theorem to find the Side a (Hypotenuse)

Now, let's solve ~

[tex] \sf \: BD {}^{2} + CD {}^{2} = BC {}^{2} [/tex]

[tex] \sf4 {}^{2} + {3}^{2} = {a}^{2} [/tex]

[tex] \sf16 + 9 = {a}^{2} [/tex]

[tex] \sf \: a {}^{2} = 25[/tex]

[tex] \sf \: a = \sqrt{25} [/tex]

[tex] \sf \: a = 5 \: units[/tex]

Therefore, Length of side a is 5 units ~

The sum of Ellie's age and Genya's age is 60. In sex years, Genya will be eight times older than Ellie will be. How old is Ellie now?

Answers

Answer:

ellie is 2 and genya is 58, explanation in picture attached

Use the line of best fit to estimate the French score for a student who got 65 in maths.

Answers

Using a linear function, it is found that the estimated French score is of 38.1875.

A linear function has the following format:

[tex]y = mx + b[/tex]

In which:

m is the slope.b is the y-intercept.

Searching the problem on the internet, it is found that two points of the line of best-fit are: (10,65) and (90,26).

The slope is given by change in the output divided by the change in the input, hence:

[tex]m = \frac{26 - 65}{90 - 10} = -0.4875[/tex]

Then:

[tex]y = -0.4875x + b[/tex]

Point (10,65) means that when [tex]x = 10, y = 65[/tex], and this is used to find b.

[tex]y = -0.4875x + b[/tex]

[tex]65 = -0.4875(10) + b[/tex]

[tex]b = 69.875[/tex]

Hence:

[tex]y = -0.4875x + 69.875[/tex]

For a student who got 65 in math, x = 65, and hence:

[tex]y = -0.4875(65) + 69.875 = 38.1875[/tex]

The estimated French score is of 38.1875.

For more on linear functions, you can check https://brainly.com/question/16302622

Makayla wants to spend no more than $50 to celebrate her birthday with her four friends. Each box of her favorite pizza costs $7.50. Which inequality can Makayla use to find p, the number of boxes of pizza she can buy without exceeding $50?

Answers

6 boxs she will only have 5 dollors left

also what kind of persom buys 6 pizza boxes for 4 friends

please solve this problem using the foil method
[tex] {x}^{2} - 9[/tex]

Answers

Answer:

This is already in its simplest form, but if you set the equation equal to zero, it's (x-3)(x+3).

Step-by-step explanation:

x^2-9=0

a= 1

b=0

c=-9

Factors of c (-9) that add up to make b (0): -3, 3

(x-3)(x+3)

we know:   [tex]a^2-b^2=(a+b)(a-b)[/tex]

So:    [tex]x^{2} -9=x^{2} -3^2=(x+3)(x-3)[/tex]

Ok done. Thank to me :>

9 plus 10 equals?

A. 21
B. 21
C. 19
D. 21​

Answers

Answer:

C 19

Step-by-step explanation:

Answer:

[tex]9+10=19[/tex]



Find the Principal:
$65 interest
2% interest rate
9 months

Answers

Answer: P = 36.11111

Step-by-step explanation:

Formula: P = I / (RT)

65 / (.02*9)

(.02 is the decimal form of 2%)

65 / 1.8 = 36.111111111

P = 36.111111 (Unsimplified answer)

Correct me if it is incorrect.

2) A gym charges a $30 membership fee and $10 per month. Write an
equation to represent this situation. Find the cost for 5 months. If a new
member paid $160, how many months did they go to the gym?

Answers

C = 10m + 30, where C is total cost and m is # of months

C = 10(5) + 30

C = 50 + 30

C = $80

$160 = 10m + 30

160 - 30 = 10m

130/10 = m

m = 13 months

Hope that helps

Find x .

Please help I’m begging

Answers

Answer:

x = 103

Step-by-step explanation:

Using the far right intersection, we can figure out that in inner angle is 32 degrees.

32 + 34 = 66 which is the angle of the left side of the middle cross.

x = 37 + 66 = 103

Hard work problem please help me find the sum

Answers

-3 + -2 + -4 = -9

the total is -9

Read the paragraph. [1] The 1992 Olympic Games took place in Barcelona, Spain. [2] This marked the first year that professional basketball players were permitted to represent their countries in the games. [3] Previously, only amateur players were allowed to participate such as college athletes. [4] The US squad was called “The Dream Team” because it consisted of some of the best players in the history of the game, including Michael Jordan, Magic Johnson, and Larry Bird. Which sentence should be revised to improve this paragraph’s sentence fluency?Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answers

The sentence that needs to be revised to improve the paragraph's sentence fluency is: sentence 3.

The two correct representations for the inequality can be -6x + 15 < 10 - 5x OR x < 5

In a grammatical context, the correct usage of punctuation marks and active voice is required and needed to be taken into consideration by the writer for effective communication to the reader.

The correct form of the sentence in sentence 3 should be:

"Previously, only amateur players, like college athletes, were allowed to participate."

The inequality given is -3(2x - 5) < 5(2 - x). Using the simple algebraic method to solve the given inequality, we have:

= -3(2x - 5) < 5(2 - x)

= -6x + 15 < 10 - 5x

By collecting the like terms, we have:

= 15 - 10 < -5x + 6x

= x < 5

Therefore, the two correct representations for the inequality can be -6x + 15 < 10 - 5x  OR  x < 5

NOTE: The third question is a repetition of an incomplete question.

Learn more about sentences here:

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work out the height of a triangular crosse section with the volume of 35cm

Answers

The answer is 2.5 cm.

Sorry if I am incorrect

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