Finish solving the system of equations 3x + 5y = −72 and 2x + 3y = –45 using the linear combination method. Step 1: Create an equivalent system with opposite terms: −2(3x + 5y = −72) → −6x − 10y = 144  3(2x + 3y = −45) →   6x + 9y = −135 Step 2: Add the equivalent system of equations to eliminate a variable: −y = 9 Step 3: Solve for the first unknown variable: y = −9 Step 4: Substitute the value of the first variable into one of the original equations: 2x + 3(−9) = −45 Step 5: Solve for the second unknown variable and write the solution as an ordered pair: What is the solution to the system?

Answers

Answer 1

Answer:

(-9, -9)

Step-by-step explanation:

3x + 5y = −72 and 2x + 3y = –45 is equivalent to:

3x + 5y = −72

2x + 3y = –45

Let's eliminate x.  To do this, multiply the first equation by -2 and the second equation by +3.  We get:

-6x - 10y = 144

6x +  9y = -135

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

      -y = 9

So y = -9.  Substituting -9 for y in the first equation, we get

3x + 5(-9) = -72, or

3x - 45 = -72.  Then 3x = -27, and x = -9.

The solution to this system is (-9, -9).

Answer 2

The solution to the system of equation is (-9, -9)

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

3x + 5y = −72 and 2x + 3y = –45 is equal to;

3x + 5y = −72...(1)

2x + 3y = –45...(2)

Let's eliminate x. In order to do this, we will multiply the first equation by -2 and the second equation by +3.  We will get;

-6x - 10y = 144...(3)

6x +  9y = -135...(4)

-y = 9

Now, y = -9.  Substituting -9 for y in the first equation, we will get;

3x + 5(-9) = -72, or

3x - 45 = -72 ; Then 3x = -27, and x = -9

Answer to the given system of equations is (-9, -9)

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Related Questions

The density of oxygen is 0.001332 gram per cubic meter. Represent 0.001332 in scientific notation.

Answers

Answer:

1.332 × 10-3

Step-by-step explanation:

you move the decimal point to the right until there's only one digit on the left side of it. the exponent is 3 because that's the number of places you moved the decimal point, and it's negative because you moved it to the right. if you move the decimal to the left it is positive, to the right is negative :)

By basic calculation We can represent 0.001332 in scientific notation as [tex]1.332\times 10^{-3}[/tex]

What is scientific notation?

Scientific notation is a way of expressing numbers big numbers in short form with approximate values.

Given number is 0.001332

we can write 0.001332 as

1332/1000000

or we can write it as

1.332/1000

and now we can write it in Scientific notation form as  

[tex]\frac{1.332}{10^3}\\\\1.332\times 10^{-3}[/tex]

By basic calculation We can represent 0.001332 in scientific notation as [tex]1.332\times 10^{-3}[/tex]

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Which of the following describe 9.49?

Answers

Answer:take 9x49

Step-by-step explanation:

You’ll get the answer

Complete this statement: 20 a x 2 + 25 a x + 15 a = 5 a 20 a x 2 + 25 a x + 15 a = 5 a

Answers

Answer:

Step-by-step explanation:

(((22•5ax2) +  25ax) +  15a) -  5  = 0  

Step  2  :

Step  3  :

Pulling out like terms :

3.1     Pull out like factors :

  20ax2 + 25ax + 15a - 5  =  

 5 • (4ax2 + 5ax + 3a - 1)  

Equation at the end of step  3  :

 5 • (4ax2 + 5ax + 3a - 1)  = 0  

Step  4  :

Equations which are never true :  

4.1      Solve :    5   =  0

BRAINLIEST!!
3. Describe the shape of the data distribution.

Answers

Answer: postitive skewed

this is correct

Yes it is the third one for This question

What is the surface area of the prism in square inches

Answers

Answer:

276

Step-by-step explanation:

Hope this helps.

The area of a triangle is related to the base and height of the triangle by the formula a = bh/2. Rewrite this equation with b solved in terms of a and h.

Answers

Answer: b = 2a/h

Step-by-step explanation:

a = bh/2

multiply each side by 2

2a = bh

divide each side by h

2a/h = b

Answer:

b = 2a/h

  The area of a triangle is related to the base and height of the triangle by the formula a = bh/2

Don’t understand can you please help me quickly?

Answers

Answer:

14

Step-by-step explanation:

the kebabs are 10

the tacos are 3

the carrots are 1

so the question mark is 14

what function that represents the data?

Answers

Answer:

C

Step-by-step explanation:

Is C I hope it is
That’s the data

20 POINTS! The following graph shows the amount of money Jonah earns when he babysits for the family who lives next door. Based on the graph, which of the following statements are true? Select ALL that apply.

When Jonah babysits one hour, he earns $7.50.
The equation e = 4 h can be used to describe this situation.
Jonah earns $20 to babysit for 5 hours.
The number of hours Jonah works depends on how much he earns.

Answers

Answer:

The equation e = 4 h can be used to describe this situation.

Jonah earns $20 to babysit for 5 hours.

Step-by-step explanation:

When Jonah babysits one hour, he earns $7.50.

looking at the graph we see at 1 hour he earns 4 dollars false

The equation e = 4 h can be used to describe this situation.

The slope is 4   so y = 4x   e = 4h  would also work   true

Jonah earns $20 to babysit for 5 hours.

Using our equation from above

e = 4*5 = 20   true

The number of hours Jonah works depends on how much he earns.

This would be false

The dependent variable is on the y axis.  The amount he earns depends on how much he works

Answer:

the second one and the third one

Step-by-step explanation:

BRAINLIEST AGAIN!! Hurry! <-w->


2.) What is the volume of the sculpture. Use 3.14 for π.


*Volume of the sculpture
= Volume of the cube - Volume of the cylinder


*Volume of the cube = s³ (side x side x side)
*Volume of the cylinder = πr²h (3.14 x radius x radius x height)

Answers

1000-196.25
= 803.75

803.75 is the volume of the sculpture

help! question in photo.

Answers

Answer:

B

Step-by-step explanation:

negative 6 times negative 6 equals 36

Answer:

B.) 36

Step-by-step explanation:

Log(2) 256 = 8, write the exponential form​

Answers

Answer:

28=256

Convert the exponential equation to a logarithmic equation using the logarithm base (2)

of the right side (256) equals the exponent (8)

.

log2(256)=8

Step-by-step explanation:

In exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).

In the given equation, we have:

Log₂ 256 = 8

This equation can be read as "the logarithm base 2 of 256 equals 8."

To express it in exponential form, we need to understand that logarithms and exponentiation are inverse operations.

In other words, if we have a logarithmic equation like this, we can convert it into an exponential equation by applying the exponentiation operation.

In this case, the logarithm is base 2, so the exponential form will have a base of 2 as well.

The exponent will be the value equal to the logarithm result. Thus, we can write the exponential form as:

2⁸ = 256

In this equation, 2 is the base and 8 is the exponent.

By raising 2 to the power of 8, we get the value of 256, which is equivalent to the logarithmic expression Log₂ 256 = 8.

Hence in exponential form, the base (2 in this case) is raised to the exponent (8), resulting in the value on the right side of the equation (256).

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Someone pls help!!!!

Answers

Answer:

c

Step-by-step explanation:

Answer:

11.1

Step-by-step explanation:

sin48=x/15 (x is over 15)

then multiply each side by 15 and it cancels on the right.

you should be left with:

15sin48=x

type that in desmos and you should get:

11.1471723822

How can it be that 1^1 = 1 and 1^0 = 1, but 0^1 = 0? Can you explain it?

Answers

Answer:

can u show the screen of the problem i dont understand ^

Step-by-step explanation:

Find the radius of the sphere with the given volume 36πin^3

Answers

The answer is 3 inches

Answer:

3 in.

Step-by-step explanation:

simplify x^2 +(y -4)^2 =?

Answers

Answer:

I believe its this x2+y2−8y+16, Hope this helps!

Step-by-step explanation:

report this



what is 79 to the power of 3 x 7 - 3.78

Answers

Answer:

4.75486852E32

Step-by-step explanation:

21-3.78=17.22

[tex]79^{17.22}[/tex]=4.75486852E32

The length of two sides of a right triangle are leg 12 M and hypotenuse 15 M find find the length of the third side

Answers

Answer:

9 M

Step-by-step explanation:

a^2+b^2=c^2

12^2+b^2=15^2

144+b^2=225

-144         -144

b^2=81

b=sqrt of 81

b=9

What is the simplified form of the following expression?

(1)/(10)\sqrt(10,000a^(10)b^(10))

10|a5b5|
10a8b8
100|a5b5|
100a8b8

Answers

Step-by-step explanation:

Step 1:  Simplify the root

[tex]\frac{1}{10}*\sqrt{10000*a^1^0*b^1^0}[/tex]

[tex]\frac{1}{10} * \sqrt{100^2*(a^5)^2*(b^5)^2[/tex]

[tex]\frac{1}{10}*100*a^5*b^5[/tex]

[tex]10a^5b^5[/tex]

Answer:  [tex]10a^5b^5[/tex]

The answer is 100[tex]a^{5} b^{5}[/tex].

How to simplify?

To simplify any algebraic expression, the following are the simple rules and steps: put off any grouping symbol inclusive of brackets and parentheses by means of multiplying elements. Use the exponent rule to take away grouping if the phrases are containing exponents.

Given

1 / 10 * √10000 *[tex]a^{10}[/tex] * [tex]b^{10}[/tex]

1 / 10 * 1000 *[tex]a^{5}[/tex] *[tex]b^{5}[/tex]

100[tex]a^{5} b^{5}[/tex]

An expression is a set of terms combined using the operations.

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Iris had invited 105 people to her party. She needs 7 large tables to have an equal number of people at each table. Which equation shows how many people will sit at each table

Answers

Answer:

105/7= 15 people will seat at each table.

Step-by-step explanation:

what is the simplify rational expression for 10b + 100
________
b + 10

Answers

Answer:

10 (b+10)

Step-by-step explanation:

10b + 100

Factor out a 10

10 *b + 10*10

10 (b+10)

Answer:

Step-by-step explanation:

10b + 100 = 10b +10*10

                = 10(b + 10)

The price of a Honda Civic is $26,750. You can finance this by paying $3500 down and $455 per month for 60 months. Determine the total finance charge. A. $3500 B. 3750 C. $4050 D. $5200

Answers

Answer:

Step-by-step explanation:

455 per month for 60 months = 60 * 455 = 27,300

Plus amount of down payment = 27,300 + 3,500 = 30,800

Finance charge = 30,800-26,750 = 4,050

Autumn bought a mattress that was on sale for $450. The original price of the mattress was $700 . Answer the following questions below: What is the dollar amount of the discount?

Answers

Answer:

$250

Step-by-step explanation:

700-450=250

The fastest train on earth can travel 800 miles in 2.5 hours because it uses magnets to make it hover above the tracks rather than touching the tracks. What is its average speed?

Answers

Answer:

Whatever google said

Step-by-step explanation:

"The original bullet train, the Series 0, hit a speed of about 200 kilometers per hour, or about 125 mph. The speeds gradually increased through the years, reaching the current figure of 177 mph in 2015."

-Google

Sorry, I don't know it off of the top of my head, but heres a little dude!

(づ ̄ ³ ̄)づ

Hope he can make up for it...

14)
A boy is standing next to a radio. As he moves away from the radio, which would MOST LIKELY occur?
an increase in the speed of sound wave particles
B)
a decrease in the speed of sound wave particles
a decrease in sound intensits with respect to the observer
Eliminate
D)
an increase in sound intensity, with respect to the observer

Answers

Answer: c

Step-by-step explanation:

In the circus, a lion has been trained to jump through a ring of fire that has a radius of 4 feet. What is the rings circumference? Use 3.14 for

Answers

Answer:

25.12

Step-by-step explanation:

1) use the formula: circumference=2×3.14×radius

2) then plug in the radius,which is 4

which is now 2×3.14×4

3) plug that into a calculator in which you will have 25.12 as your answer

A coin has heads on one side and tails on the other the coin is tossed 12 times and lands heads up four times which best describes what happens when the number of trials increases significantly

Answers

Answer:

The number of occurrences for both possible events(heads or tails) will be closer to the expected outcome. By that I mean that of all the total outcomes heads will be about half of them and so will tails.

a bookmark is 3.7 centimeters wide and 6.2 centemeters tall. what is its area of the bookmark

Answers

Answer:

22.94

Step-by-step explanation:

3.7x6.2

multiply the values

Answer:

22.94

Step-by-step explanation:

Area of a rectangle = l x b

                                  = 6.2 x 3.7

                                  = 22.94 square cm              

evaluate the following function for x=-4 f[x]=2x+5

Answers

Answer:

-3

Step-by-step explanation:

substitute -4 into the equation f(x)

What’s 1 Apple plus 1 apple

Answers

Answer:

2apples

Step-by-step explanation:

The answer is 2 apples
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