Find the solution of the system of equations.
-
5x – 4y = -9
10x– 7y = -22

Answers

Answer 1

Answer:

x = -5

y = -4

Step-by-step explanation:

5x - 4y = -9

10x - 8y = -18

10x - 7y = -22

-y = 4

y = -4

Substitue y into any equation

5x - (-16) = -9

5x = -25

x = -5


Related Questions

Which ordered pair is the solution of the system of a linear equation? (See image)

Answers:

(-4,-2)

(-4,2)

(-2,-4)

(2,4)

Answers

Check the picture below.

Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please

Answers

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

Kevin is planning a trip. His round-trip train ticket
costs 550 and the hotel costs $200 per night. If
he spends $850 on his train ticket and hotel, how
many nights did he stay?

Answers

850- 550=300
300/200= 1.5
So he stayed for 1.5 nights??? However I don’t think you can stay for 1.5 nights so I don’t know if this is right. But it could be the right answer as I don’t see another possible solution. Sorry. You might need another persons opinion.

Sumalee spent $183 on books. Math books cost $21 and english books cost $26. If she bought a total of 8, then how many of each kind did she buy?

Answers

Math - 5, english - 3
I simply tried the possibilities starting at the bottom and comparing the totals.
I tried: 1, 7 no result; 2, 6; no result; 3, 5; no result; 4, 4; no result; 5, 3 correct

HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.

Answers

Answer:

Area of a rectangle

A = lw

Car #1 travels 288 miles in 4 hours. Car #2 travels 276 miles in 3
hours. What is the speed of car #2 in miles per hours
PLEASE HELP AURGENT

Answers

Answer:

Car 1: 72 mph

Car 2: 92 mph

Step-by-step explanation:

Car 1: 72 mph

288/4 = 72

72mph

Car 2: 92 mph

276/3

92 mph

Have an amazing day!!

Please rate and mark brainliest!!

The formula P = I-E is used to calculate profit.
P = Profit
I= Income
E = Expenses
The school bake sale earned $72 in sales and had
$125 in expenses.
Find the profit.
b. What does a negative profit mean?

Answers

Hey there!

P = I - E

Income = $72Expenses= $125

P = I - E {Add values}

P = 72 - 125

= -53

Negative profit means loss, which means there was no gain

Hopes this helps

(NEED HELP FAST 50PTS) Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10)

Answers

it’s the third one :)))))

Evaluate 2-(-4) + (-g) where y= 7.

Answers

Answer:

-1

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

What is the area of a circle with a radius of 10.2 feet? 10.2 ​

Answers

Answer:

326.85 ft^2

Explanation:

The area of a circle is A=πr2
If we substitute the value of 10.2 feet into this formula we get 326.85 ft^2

How can you use tables, graphs, and equations to compare functions in everyday life?

Answers

You can use them in real life by keeping notes if things like a graph if you are presenting something to your boss like how the business has grown a table to separate things and equations to help you know how to much you’ll need to pay the cashier without overpaying

Bo needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged him $63 for parts. The total was $551.75. What was the cost of labor, per hour?

Answers

To find the cost of labor subtract 63 from 551.75
Cost of labor= 551.75 - 63
= $ 488.75
To find cost of labor per hour, divide 488.75 by the time taken to repair
488.75/4.25 = $115

A rectangle has an area of 73.5m2 one of the sides are 1.5m in length work out the perimeter of the rectangle

Answers

Answer:

101m

Step-by-step explanation:

area of a rectangle is given by length × width

73.5÷1.5 gives us the other side=49

49+1.5=50.5×2=101

Complete the square to write the equation, 4x2 24x – y 43 = 0, in standard form. y = (x )2

Answers

An equation is formed of two equal expressions. The equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The equation that is given to us is 4x²+24x-y+43=0, and we need to write the given equation in the form of y=(x)². Therefore, the equation can be solved in the following steps,

[tex]4x^2+24x-y+43=0\\\\4x^2+24x-y+36+7=0\\\\(4x^2+24x+36)-y+7=0\\\\(2x+6)^2-(y-7)=0\\\\(y-7)=(2x+6)^2[/tex]

Hence, the equation 4x²+24x-y+43=0 in the standard form of y=(x)² is written as (y-7)=(2x+6)².

Learn more about Equation:

https://brainly.com/question/2263981

A circular concrete patio has a circumference of about 53 yards. The patio has a diameter of d yards. Which expression best represents the value of ?.

Answers

Applying the expression for the circumference of circle, we found the diameter as 16.86 yards

Mensuration of Flat shape

Given Data

Circumference = 53 yardsDiameter =  d yards

Let us apply the expression for the circumference of a circle

Circumference = 2πr----------1

But r = d/2

hence put r = d/2 in the expression above

Circumference = 2πd/2----------2

Circumference = πd

Substitute our given data

53 = 3.142*d

Make d the subject of formula we have

d = 53/3.142

d = 16.86 yards

Learn more about mensuration of shapes here:

https://brainly.com/question/10628685

Can someone help me? Image is down below

Answers

Answer:

0.3 ft  DISCLAIMER

Step-by-step explanation:

DISCLAIMER: I am not 100% sure if I am correct.  I think I am but there is a chance I am not.  I just thought ONE answer would be better than none.  Feel free to disregard this if you don't want to try.

If you multiply the starting height (4.5 ft.) by .73 (73%) then you would get the second bounce.  I just did that until I got to the 10th bounce and rounded it to the nearest tenth which ended up being 0.3

A college student takes out a $ 7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): a. if the bank charges 3.8% interest each year? b. if the bank charges 5.3% interest each year?

Answers

Answer:

Substitute P=7500, r=0.053 and t=1 in equation (1). Therefore, the balance of the loan be after one year is $7897.5

Solve using area model. 53x95

Answers

53x95 = 5035!


hopes this helps! ^^

Answer:

5605

Step-by-step explanation:

(-2)-(3)+(+5)


por favor e pra hj,amanha vou ter aula cedo

Answers

Answer:

0

Step-by-step explanation:

-2-3+5

-5+5

0

Charles buys 60 packs of pens.
There are 14 pens in each pack.
Each pack costs £4.50.
Charles sells each pen for 70p but he only manages to sell
2
3
of the pens.
How much profit did he make?

Answers

Answer:

£122

Step-by-step explanation:

Total no. of pens :- 60× 14= 840

Cost of all pens :- £270

Total no. of pens sold :- 560

Cost of those pens :- £392

Profit = £122

Charles made a profit of  £122, By selling (2/3)rd of his pens.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Charles buys 60 packs of pens and there are 14 pens in each pack.

If each pack costs £4.50.

So, The Total cost is,

=  £(60×4.50).

=  £270.

The total number of pens is,

= (14×60).

= 840, And he manages to sell (2/3) of it which is,

= (2/3)×840.

= 560.

Now, The total money made by him is,

= 540×0.7.

=  £392.

Therefore, The profit he made is  £(392 - 270) =  £122.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ7

2x - 3y = 1, x + 2y = -3 equivalent equation and solution

Answers

Answer:

x = -1, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}2x-3y=1\\ x+2y=-3\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=\frac{1+3y}{2}[/tex]

[tex]\begin{bmatrix}\frac{1+3y}{2}+2y=-3\end{bmatrix}[/tex]

Simplify

[tex]\begin{bmatrix}\frac{1+7y}{2}=-3\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=\frac{1+3y}{2}[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=\frac{1+3\left(-1\right)}{2}[/tex]

[tex]x=-1[/tex]

[tex]The\:solutions\:to\:the\:system\:of\:equations\:are[/tex]

[tex]x=-1,\:y=-1[/tex]

Check Answer:

2(-1)-3(-1) = 1

True

-1+2(-1)= -3

True

~Lenvy~

To build a snowman, Victor made three snowballs with diameters of
1

meter (m),


1
.
5

m,
and
2
m.
To the nearest cubic meter, what is the total volume of snow used in the snowman?

Answers

Considering the spherical snowballs, the total volume of snow used in the snowman is of 126 m³.

What is the volume of an sphere?

The volume of an sphere of radius r is given by:

[tex]V = \frac{4\pi r^3}{3}[/tex]

In this problem, there are three spheres, of radius r = 1 m, r = 5 m and r = 2 m, hence:

[tex]V_1 = \frac{4\pi}{3} = 4.19[/tex]

[tex]V_2 = \frac{4\pi \times 5^2}{3} = 104.72[/tex]

[tex]V_3 = \frac{4\pi \times 2^2}{3} = 16.76[/tex]

The total volume, in cubic meters, is of:

V = 4.19 + 104.72 + 16.76 = 125.67.

Rounding, the total volume of snow used in the snowman is of 126 m³.

More can be learned about the volume of an sphere at https://brainly.com/question/25608353

What is the area of the shaded region?
A. 16π
B. 8π
C. 4π
D. 2π

Answers

Area of a circle = pi x r^2

Area of the circle = 4^2 x pi = 16pi


3/4 of the circle is shaded


area of shaded portion = 3/4 x 16pi = 12pi


Answer 12 pi

Answer:

b

Step-by-step explanation:

4 of the nonshaded areas =a

What are the solutions to the system of equations graphed below?

Answers

The solutions to the system of the equations graphed below are where the graphs intersect:

In this case, the two graphs intersect at (0,6) and (-3, -3)

So the solutions are (0,6) and (-3,-3)

Hope that helps!

The solution to the system of the equations below is: (0,6) and (-3,-3)

The solutions are where the two graphs of the equations intersect

What is the distance between B and C? The Graph Below.

Answers

Answer:

250cm

Step-by-step explanation:

Answer:

433.01m.

Step-by-step explanation:

SOHCAHTOA

cos60= a/500

500cos60=a

433.01m

bellamy is building a gate to put on a fence. the gates measurements are 7 feet by 7 feet a diagonal wooden brace is going to be attached to keep the gate rigid what is the length of wood bellany needs to cut for the brace leave your answer in simplified radical form

Answers

The length of the diagonal is the hypotenuse of the fence

The length of the wood is [tex]7\sqrt{ 2[/tex] yards

How to determine the length of the wood?

The dimensions of the fence are:

7 ft by 7 ft

The length (L) of the diagonal is calculated using:

[tex]L = \sqrt{a^2 + b^2[/tex]

This gives

[tex]L = \sqrt{7^2 + 7^2[/tex]

Express as products

[tex]L = \sqrt{7^2 * 2[/tex]

Express as radical

[tex]L = 7\sqrt{ 2[/tex]

Hence, the length of the wood is [tex]7\sqrt{ 2[/tex] yards

Read more about diagonals at:

https://brainly.com/question/10187910

Help!! This is iready will get brainiest!! Please answer!!

Answers

Answer:

C the number of toothbrushes :)

Step-by-step explanation:

You can show how many were given away each month on a dot plot :)

The others would not make sense with the dot plot :)

Haeva great day!

Please rate and mark brainliest!

Evaluate each expression using the order of operations

A:-4(-4+3)+2²

B:-3-3-3(-3)

C:-17+2(-2)(-2)

D:-(+2(-3)(5)(3+2)(-6)​

Answers

Answer:

[A} 8

[B] 3

[C] -9

[D] - 900

Step-by-step explanation:

A:-4(-4+3)+2²

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-4\left(-1\right)+2^2[/tex]

[tex]-4\left(-1\right)+4[/tex]

[tex]4+4[/tex]

8

-------------------------------------------------------------------------------------------------------------

B:-3-3-3(-3)

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

[tex]-3-3-\left(-9\right)[/tex]

3

-------------------------------------------------------------------------------------------------------------

C:-17+2(-2)(-2)

[tex]\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}[/tex]

[tex]-17-\left(-8\right)[/tex]

-9

-------------------------------------------------------------------------------------------------------------

D:-(+2(-3)(5)(3+2)(-6)​

[tex]Follow\:the\:PEMDAS\:order\:of\:operations[/tex]

-900

-------------------------------------------------------------------------------------------------------------

[RevyBreeze]

what is the area of this figure?

Answers

Answer:

  234 square millimeters

Step-by-step explanation:

You want the area of the irregular polygon shown.

Composition

There are always several ways you can find the area of a figure like this. In the attachment we have shown extensions of the vertical and horizontal lines that will divide the figure into a triangle and two rectangles.

Triangle area

The triangle has a base of 12 mm and a height of 13 mm. Its area is ...

  A = 1/2bh

  A = 1/2(12 mm)(13 mm) = 78 mm²

Rectangle area

The upper rectangle has a width of 8 mm and a length of 14 mm. Its area is ...

  A = LW

  A = (14 mm)(8 mm) = 112 mm²

The lower rectangle has a width of 4 mm and a length of 11 mm. Its area is ...

  A = (4 mm)(11 mm) = 44 mm²

Total area

The area of the figure is the sum of the areas of its parts:

  total area = triangle area + upper rectangle + lower rectangle

  total area = 78 mm² + 112 mm² + 44 mm² = 234 mm²

The area of the figure is 234 square millimeters.

<95141404393>

The points go from 0 to 6 or -6. Please help asap

Answers

Answer:

either one

Step-by-step explanation:

it is going through the origin, so it is going forever in each direction

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