find the solution of the system equations.
10x-7y=-1
-2x-7y=-25

Answers

Answer 1
-7y=-10x-1
-7y=-25+2x
-10x-1=-25+2x
x=2
Answer 2

Answer:

[tex]x=2, y=3[/tex]

Step-by-step explanation:

Given equations:

[tex]10x-7y=-1[/tex]

[tex]-2x-7y=-25[/tex]

We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:

[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]

[tex]10x-7y+2x+7y=-1+25[/tex]

[tex]12x=24[/tex]

[tex]x=2[/tex]

Now, we can use substitution to solve for [tex]y[/tex]:

[tex]10x-7y=-1[/tex]

[tex]10(2)-7y=-1[/tex]

[tex]20-7y=-1[/tex]

[tex]7y=21[/tex]

[tex]y=3[/tex]

∴ [tex]x=2, y=3[/tex]

Hope this helps :)


Related Questions

The lengths of the sides of a triangle are 3, 3, . Can the triangle be a right triangle?

Answers

Answer:

yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

i just made a 100 on odw

what value of x makes this equation true? 15-7x=5x-21​

Answers

Answer:

x=3

Step-by-step explanation:

15-7x=5x-21

12x=36

x=3

Overview
Question Progress
Homework Progress
4/8 Marks

a)
Here are the ingredients needed to make 8 pancakes.
b)
250 ml milk
1 egg
140 g flour
5g butter
a) Simon makes 4 pancakes.
Work out how much milk he needs.
b)
Craig makes 12 pancakes.
Work out how much butter he needs.


Answers

Answer:

125ml of milk and 7.5g of butter

PLEASE HELP!!! BRAINLIEST FOR FIRST


Find the length of k ____

Answers

Answer:

K=3

Step-by-step explanation:

I think so, if I’m wrong I’m sorry

Answer:

Step-by-step explanation:

[tex]\frac{9}{12}[/tex] = [tex]\frac{k}{k+4}[/tex]

12k = 9(k + 4)

12k - 9k = 36

3k = 36

k = 12

The first angle in a triangle is three times at the seconed angle.The seconed angle is two times that of the third angle. Finde the ratio of the angils


pleases help im soo stuck its middle school

Answers

6x:2x:x
Is your ratio.

Checking math:
6(2):2(2):2=
12:4:2

:)

Ava takes 4 breaths every 10 seconds during yoga. At this rate, how many breaths would Ava take in two minutes? *

Answers

Answer:

48

Step-by-step explanation:

It's given that Ava takes 4 breaths every 10 seconds.

4 breaths : 10 seconds. ...(1)

To solve this, first we need to calculate how many seconds there are in two minutes.

As 60 seconds make up one minute, 120 seconds make up two.

Now, to solve for the number of breaths (x), we just multiply (1) by 12. We do this so that we get 120 seconds on the right side, so the left side will give us the answer we need.

4 × 12 breaths : 10 × 12 seconds

48 breaths : 120 seconds.

So, the final answer would be 48 breaths.

Hope this helps! :D

Simplify:
a) 3y - y
b) 69 + 4 - 9 +5

Answers

Answer:

a) 2y

b) 69

Step-by-step explanation:

Shelby rode her motorcycle 77 kilometers down a straight freeway at a constant velocity. She rode that distance in 1.4 hours. What was her velocity?

Answers

Answer:

the answer Is 277.2

Step-by-step explanation:

V=277.2

Given that for all values of x,
f(x) = 3x + p
g(x) = px + 4
and fg(x) = 6x + 9
where p and q are constants.
Work out the values of p and q.

Answers

Question, where is q in the equations? Do you mean x?

The value of p is 2.

The value of q is 14

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Two functions:

f(x) = 3x + p

g(x) = px + 4

Now,

f(g(x)) = 6x + 9

This means,

3(g(x)) + p = 6x + q

Substituting g(x) = px + 4.

3(px + 4) + p = 6x + q

3px + 12 + p = 6x + q

3px + (p - q) = 6x - 12

This means,

3p = 6

p = 2

p - q = -12

2 - q = -12

q = 2 + 12

q = 14

Thus,

p is 2 and q is 14.

Learn more about functions here:

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Name the property of equality that the statement illustrates.


If AB = CD and CD = 5, then AB = 5.

i need help asap thank you !

Answers

Answer:

I think it's symmetric. I could be wrong, but its been 2 weeks since you posted this so if you have the correct answer can you tell me it please! :)

Step-by-step explanation:

At the kennel, the ratio of cats to dogs is 4:5. There are 27 animals in all.
1. What is the value of each small rectangle?
2. How many dogs are at the kennel?
3. How many cats are at the kennel?

Please answer this ASAP!!! I will make you Brainliest!

Answers

Answer:

I don't know how to answer the first question

There are 15 dogs in the kennel

There are 12 cats in the kennel

Explanation:

If there is a 4 to 5 ratio then

12 cats to 15 dogs is linear

Which is one characteristic of hurricanes?

occur mostly inland
create widespread damage
last for a short amount of time
gain strength after passing over land

Answers

Answer:

b

Step-by-step explanation:

Answer: B. Create widespread damage.

Step-by-step explanation: On Edge!!!!!!!!!!!

*PLEASE ANSWER, I DON"T GET IT*
Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
a.) −1 ≤ y – 3 OR y – 3 ≤ 1
b.) y – 3 ≤ −1 AND y – 3 ≥ 1
c.) −1 ≤ y – 3 AND y – 3 ≤ 1
d.) y – 3 ≤ −1 OR y – 3 ≥ 1

Answers

The explanation is on the board if you have a question just comment

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

The given inequality is |y – 3| − 4 ≤ −3.

What is compound inequality?

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. It is the overlap or intersection of the solution sets for the individual statements. “Or” indicates that, as long as either statement is true, the entire compound sentence is true. It is the combination or union of the solution sets for the individual statements.

Now, solve inequality |y – 3| − 4 ≤ −3.

Add 4 on both sides of the inequality.

That is, |y – 3| − 4+4 ≤ −3+4

y-3≤1 OR -1≤y-3

The compound inequality represents the given inequality is y-3≤1 OR -1≤y-3. Therefore, option A is the correct answer.

To learn more about compound inequality visit:

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4/10 times (7/8+9/4) 5/7​

Answers

Answer: simplified down to 25/28 or 0.89 / / 0.9 rounded up

whats the slope of
(0,1)& (4,-19) helpppp

Answers

Answer:

-5

Step-by-step explanation:

m = y2 - y1

      x2 - x1

-19 - 1 = -20

4 - 0 = 4

-20/4 = -5

Answer:

The slope is -5x

Step-by-step explanation:

Use this formula [tex]\frac{y2-y1}{x2-x2}[/tex]

Now plug in your numbers.

[tex]\frac{-19 - 1}{4 - 0} \\\frac{-20}{4} \\[/tex]

-20 ÷ 4 = -5

Hope this helps ya!!

In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? Write an inequality.

Answers

Answer:16

Step-by-step explanation:if he scores 2 goals a game then all you have to do is minus 60 from 92 and divide it by two

92-60= 32goals needed

32/ 2 goals a game = 16 games

express 75 as a product of its prime factors ​

Answers

Answer:

Step-by-step explanation:

The prime factor of the product 75:

Factors of 75

1,3, 5, 15, 25, 75

or for the prime factorization of 75

3 x 5 x 5, which can also be written 75 = 3 x 5².

Hope this help :)

Answer:

3 × 5 × 5

I hope this helps!

Please help me on this question. First to answer will be the brainliest :D

Solve for t.

6t - 7 = 7t

Answers

Answer:

t=−7

Step-by-step explanation:

FIRST

A swim team has 31 swimmers. The total practice time for the team is 22,320 hours each season How many hours per season does each swimmer practice?​

Answers

Answer:

720

Step-by-step explanation:

22,320 divided by 31 is 720

Answer:

3 hours a day

Step-by-step explanation:

22,320-31-31-31-31-31-31-31-31-31-31-31 and way more

PLEASE HELP
Determine which lines are parallel if any:
Line a passes through (-1, 1) and (1,3)
Line b passes through (3,4) and (0,2)
Line c passes through (0,1) and (3,3) *



line a and b
line b and c
line a and c
none are parallel

Answers

Answer:

b and c

Step-by-step explanation:

both slopes are 2/3

The 2018 Current Population Survey (CPS) estimates that 19.7% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. If we take a random sample of 250 Mississippians, what is the probability that at least 25% of them live in poverty?

Answers

Answer: 0.0265

Step-by-step explanation:

Given: The proportion of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States. : p = 19.7% = 0.197

Sample size : n= 250

The probability that at least 25% of them live in poverty will be

[tex]P(\hat{p}\geq0.25)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\geq\dfrac{0.25-0.197}{\sqrt{\dfrac{0.25\times0.75}{250}}})\\\\=P(Z>\geq1.9353)\\\\=1-P(Z<1.935)\\\\=1-0.9735\ \ \ \ [\text{By p-value table}]\\\\=0.0265[/tex]

Hence, the required probability = 0.0265

PLEASE HELP ME!!!!!!!!!!!!!!

Answers

Answer:

f(-1) = -6

Step-by-step explanation:

[tex]f(x) = (x+2)^{2}-6[/tex] for [tex]x\neq -1[/tex]

[tex]f(x) = -6[/tex] for x = -1

f(-1) means x=-1, so we can't use the first expression.

“Write a linear equation that is perpendicular to 2x-5y=5 and passes through the point (2,-9).

So first I made it into the Slope Intercept Form which would be -5y=-2x+5, then I divided everything by -5 (from the -5y) and got y=2/5-1.

After that I realized it was perpendicular (and this is where I got confused) I switched it to y=-5/2-1. (yeah I think it’s wrong)

Then I put it in the Point slope formula making it to be y-(-9)=-5/2(x-2). So that would be y+9=(-5/2)x+5.

So the product after doing the -9 from each side, would it be y=(-5/2)x-4?

Answers

Okay so you are correct with the gradient of the perpendicular line it is -5/2 however the equation is not y= -5/2 -1 because it is a new Line and has a new y-intercept therefore its Y=-5/2 + C but you have corrected that when doing the formula and have got the right answer

The correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

Here,

Let's go through the steps again and find the correct equation for the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9).

Step 1: Convert the given equation into slope-intercept form.

2x - 5y = 5

Subtract 2x from both sides:

-5y = -2x + 5

Now, divide everything by -5 to isolate y:

y = (2/5)x - 1

So, the slope of the given line is 2/5.

Step 2: Find the slope of the line perpendicular to the given line.

For two lines to be perpendicular, their slopes must be negative reciprocals of each other.

The negative reciprocal of 2/5 is -5/2.

Step 3: Write the equation of the line using the point-slope form.

Now that we have the slope (-5/2) and a point (2, -9), we can use the point-slope form of the linear equation:

[tex]y - y_1 = m(x - x_1)[/tex]

where m is the slope, and [tex](x_1, y_1)[/tex]is the given point.

Substitute m = -5/2 and [tex](x_1, y_1)[/tex] = (2, -9):

y - (-9) = (-5/2)(x - 2)

Simplify:

y + 9 = (-5/2)x + 5

Now, isolate y by subtracting 9 from both sides:

y = (-5/2)x + 5 - 9

y = (-5/2)x - 4

So, the correct equation of the line that is perpendicular to 2x - 5y = 5 and passes through the point (2, -9) is y = (-5/2)x - 4.

To learn more on equation click:

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. The circumference of Earth’s moon is about 1,091,500,000 cm. Write this number in scientific notation. *

Answers

1.0915 x 10{9} <----Exponet

What is the slope of the line that passes through the points (4,-9) and (8, -3)?

Answers

Answer:

3/2

Step-by-step explanation:

To find the slope of a line you can use the equation y2-y1/x2-x1

So, -3+9/8-4

6/4=3/2

Step-by-step explanation:

m= y²-y¹/x²-x¹

=(-3)-(-9)/8-4

=6/4

=3/2 or1.5

Please answer with two answers!

Answers

Answer:

C. Roanoke, Alexandria, Norfolk

Step-by-step explanation:

Lets expand all of the numbers

Alexandria 136,000

Norfolk 229,000

Roanoke 91,500

Using these number we can easily see that the order is "Roanoke, Alexandria, Norfolk"

I don't understand when you say "Please answer with two answers!" because only one answer is correct

The answer is C. And there’s only 1 answer that’s correct

Simplify the ratio. 13−42−(−1) =

Answers

Answer:

-28

Step-by-step explanation:

So yeah this is easy but my brain cell are not working proproly so....
Can you help me find H Plz be fast grades are due tonight
(Answer Only)

Answers

Answer:

-12

Step-by-step explanation:

h/6 -1 = -3

h - 6 = - 18

h = -18 + 6

h = -12

Answer:

h= -12

Step-by-step explanation:

-12/6= -2

-2- 1 = -3

-3= -3

solve for y:
6=2(y+2)

Answers

Use distributive property
6 = 2y + 4
2y = 2
Y = 1
6= 2(y+2)
6= 2y+4
-4 -4
——————
2 = 2y
—- ——
2. 2
Y = 1

To paint a house, a painting company charges a flat rate of $500 for supplies, plus $50 for each hour of labor. a. How much would the painting company charge to paint a house that needs 20 hours of labor?

Answers

Answer:

For 20 hours it would be $1,500.

Step-by-step explanation:

The equation for this problem would be Y = 50x + 500.

Y is the total charge and x is the number of hours.

Hope this helps! Sorry if it was not what you were looking for!

Answer: 1500

Step-by-step explanation: 50x20=1,000 plus the addition price of the supplies 1,000+500= $1500

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