What is the solution to the system of equation? 2x+6y=-6 4x-3y=-12

Answers

Answer 1

Answer:

(-3, 0)

Step-by-step explanation:

We can solve this algebraically (substitution or elimination) or graphically.

Step 1: Multiply the first equation by -2

-4x - 12y = 12

4x - 3y = -12

Step 2: Add the 2 equations together and solve for y

-15y = 0

y = 0

Step 3: Plug y back into an original equation to get x

2x + 6(0) = -6

2x = -6

x = -3

And we have your answer!

Answer 2

Answer:

2x+6y=-6 ........1

4x-3y=-12 ........2

Simplify equation 1

2x + 6y = -6

Divide both sides by 2

You will get

x + 3y = -3

Make x the subject

x = - 3 - 3y

Substitute x into equation 2

4x - 3y = - 12

4(- 3 - 3y) - 3y = - 12

-12 + 12y - 3y = -12

9y = -12 + 12

9y = 0

Divide both sides by 9

y = 0

Substitute y = 0 into x = - 3 - 3y

You will get

x = - 3 - 3(0)

x = -3

Therefore x = - 3 and y = 0

Hope this helps


Related Questions

What are the collinear points on line l ?

Answers

Answer:

Points A, F, and G are three collinear points on line l

Step-by-step explanation:

hope this helps you A,F,G, are the three collinear points on line l :)

There are 80 pupils in Jaydon's year group.
30% walk to school. 15% cycle to school. The rest get a bus.
How many pupils walk to school?
go
Show me the answer
How many pupils get the bus?
go

Answers

Answer:

walk is 24 people

bus is 44 people

Step-by-step explanation:

100% is 80

30% walk

15% bike

55% bus

work out 30%

so 50% is 40

25% is 20 (dived by 2)

5% is 4 (divide 50 by 10)

30% is 24

for bus do 50% is 40

5% is 4

55% is 44 (add)

Sound waves are emitted from a fishing boat. Some of the sound waves are reflected by fish and detected back at the boat.The shortest time between the sound waves being emitted and detected is 0.26 s. The speed of sound in water is 1500 m/s.A) Calculate the distance between the boat and the nearest fish.

Answers

Answer:

195 m.

Step-by-step explanation:

The time for the  sound waves to reach the fish is 0.26/2 = 0.13 seconds.

Distance = speed * time

= 1500 * 0.13

= 195 m.

1) a × a 2) a × a × a 3) b × b × b × b 4) a × a × b × b 5) a × a × a × b × b 6) a × a × b × a 7) a × b × a × a × b 8) b × a × a × a × b

Answers

Answer:

1) [tex]a^2[/tex]

2) [tex]a^3[/tex]

3) [tex]b^4[/tex]

4) [tex]a^2b^2[/tex]

5) [tex]a^3b^2[/tex]

6) [tex]a^3b[/tex]

7) [tex]a^3b^2[/tex]

8) [tex]a^3b^2[/tex]

Step-by-step explanation:

1) a × a = [tex]a^2[/tex]

2) a × a × a = [tex]a^3[/tex]

3) b × b × b × b = [tex]b^4[/tex]

4) a × a × b × b = [tex]a^2b^2[/tex]

5) a × a × a × b × b = [tex]a^3b^2[/tex]

6) a × a × b × a = [tex]a^3b[/tex]

7) a × b × a × a × b = [tex]a^3b^2[/tex]

8) b × a × a × a × b  = [tex]a^3b^2[/tex]

Answer:

What is the question?

Step-by-step explanation:

What are lines called in Riemann's spherical geometry?
O A. segments
O B. great circles
O C. diameters
O D. great lines

Answers

Answer:

B

Step-by-step explanation:

Great circles are the largest possible circles that can be drawn around a sphere and are the lines called in Riemann's spherical geometry.

Which equation is an example of the commutative property of multiplication?
O (4 + 21) = (21 + 4)
O (4 + 21)(3-51) = (3-51)(4 + 21)
(4 + 21(3-51) = (4 + 21)(3-51(1)
(4 + 21) = (4 + 21 + 0)

Answers

Answer:

the answer is (4 + 21)(3-51) = (3-51)(4+ 21)

The equation is an example of the commutative property of multiplication is 4 + 21)(3-51) = (3-51)(4 + 21).

What is Commutative Property?

The commutative property is a mathematical statement that states that the order in which numbers are multiplied has no effect on the product.

According to the commutative property of multiplication, if we multiply two integers, the result will remain the same even if the positions of the integers are swapped.

Let A and B be the two integers, then;

A × B = B × A

As, we know commutative Property supports multiplication and Addition.

First,  (4 + 21) = (21 + 4)

This is Commutative Property of Addition.

Second,  (4 + 21)(3-51) = (3-51)(4 + 21)

This is Commutative Property of Multiplication

Third, (4 + 21(3-51) = (4 + 21)(3-51(1)

No property can be applied.

Fourth, (4 + 21) = (4 + 21 + 0)

This is expansion.

Learn more about Commutative Property here:

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Which statement is true for the numbers 2.5 and -2.5? A. On the horizontal number line, 2.5 and -2.5 are equal and are located on the same point. B. On the horizontal number line, -2.5 is located to the left of zero and 2.5 is located to the right of zero. C. On the horizontal number line, 2.5 and -2.5 are both located to the right of zero. D. On the horizontal number line, 2.5 is located to the left of zero and -2.5 is located to the right of zero.

Answers

Answer:B

Step-by-step explanation: because when u draw the number line all the negative numbers is written at the left side of the zero and all positive numbers are found at the right side of the zero

Answer: I believe it’s B

Step-by-step explanation:

I need help pls i have to be done by 2

Answers

Answer:

ASA postulate: 1 side, 2 angles equal

Step-by-step explanation:

ASA postulate: 1 side, 2 angles equal

Find 310% of 150. a number blank

Answers

Answer:

465

Step-by-step explanation:

Of means multiply

310% * 150

Change to decimal form

3.10 * 150

465

Answer:

465

Step-by-step explanation:

1 percent of 150 is 1.5.

Multiply 1.5 by 310 to 465

Is (1, 2) a solution of the system y>2x and x+y<3?

Answers

Answer:

no

Step-by-step explanation:

Let's check the first statement. 1 > 2 * 2 becomes 1 > 4. This is a false statement so the answer is no.

It is not a solution.      2x=2 and 2 is not bigger than 2 (which is y).

x+y = 1+2=3. # is not bigger than 3.

using the side lengths, determine whether the triangle is acute, obtuse or right 9 5 10

Answers

An acute triangle

Step-by-step explanation:

Using a calculator, these measurements fit an acute scalene triangle.

Answer:

acute

Step-by-step explanation:

*Will mark brainliest*

Answers

Answer:

B

Step-by-step explanation:

Julie and her classmates are holding a car wash to raise money for a trip to England next summer. During the first 32 minutes, they have washed a total of 5 cars. If the class continues to wash cars at this rate, about how many will they have washed after 8 hours?

Answers

Answer:

75 cars

Step-by-step explanation:

Convert the 8 hours into minutes, 480.

Divide by the 32 minutes, 15.

Multiply by the number of cars in 32 minutes, 5.

Answer is 75.

Answer:

75 cars.

Step-by-step explanation:

Let's use a ratio to solve:

minutes  :  cars

    32       :    5

   160      :   25

   320     :   50

   480     :   75

Since 480 minutes is 8 hours, and they get 75 cars washed in 480 minutes, then they have washed 75 cars in 8 hours.

3x2 + 2x - 5 and -4 + 7x2

Answers

Answer:

3×2+2x-5

6-5+2x

1+2x

-4+7×2

-4+14

10

The number of milligrams of a certain medicine a veterinarian gives to a dog varies directly with the weight of the dog. If the veterinarian gives a 30-pound dog Three-fifths milligram of the medicine, which equation relates the weight, w, and the dosage, d? d = StartFraction 1 Over 50 EndFraction w d = three-fifths w d = 18 w d = 50 w

Answers

Answer:

Step-by-step explanation:

A direct variation equation is of the form

y = kx,

where, in words, it reads "y varies directly with x" or "y varies directly as x". In order to use this as a model, we have to have enough information to solve for k, the constant of variation. The constant of variation is kind of like the slope in a straight line. It rises or falls at a steady level; it is the rate of change.

We have that a vet gives a dose of three-fifths mg to a 30 pound dog. If the dose varies directly with the weight of the dog, then our equation is

d = kw and we need to find k in order to have the model for dosing the animals.

[tex]\frac{3}{5} =k(30)[/tex]

Divide both sides by 1/30 to get k alone.

[tex](\frac{1}{30})(\frac{3}{5})=k[/tex] and

[tex]k=\frac{1}{50}[/tex]

Our model then is

[tex]d=\frac{1}{50}w[/tex]

This means that for every pound of weight, the dog will get one-fiftieth of a mg of medicine.

Answer:

A

Step-by-step explanation:

The function g(x) is a transformation of f(x), and g(x) = f(x) + 2. What type of transformation of f(x) is g(x)? A. dilation B. horizontal translation C. reflection D. vertical translation

Answers

Answer:

This is called a vertical translation, which is answer D.

Step-by-step explanation:

Given: g(x) = f(x) + 2.

This means that g(x) is the "same" like (x) and that all points of the graph of f(x) are shifted up by 2 units, in order to form g(x).

The type of transformation is called a vertical translation, which is answer D.

Abcd is a rectangle.​

Answers

It’s within reach. .. ..

Need help people pls

Answers

Answer : 0.75
Cause it is

does anyone know the answer to this? If so can u please help me.

Answers

Answer:

[tex] m\angle M = 90\degree\\

m\angle L = 24\degree[/tex]

Step-by-step explanation:

LM is tangent to the circle at point M and NM is radius.

[tex] \therefore NM\perp LM.. (radius \perp tangent) \\

\huge\orange {\boxed {m\angle M = 90\degree}} \\[/tex]

By interior angle sum postulate of a triangle, we have:

[tex] m\angle L + m\angle M + m\angle N = 180\degree \\

m\angle L + 90\degree + 66\degree = 180\degree \\

m\angle L + 156\degree = 180\degree \\

m\angle L = 180\degree - 156\degree \\

\huge\red {\boxed {m\angle L = 24\degree}} \\[/tex]

Which linear inequality is graphed with y > –x – 2 to create the given solution set? y > x + 1 y x – 1 y < x + 1

Answers

Answer:

D

Step-by-step explanation:

I took the test, dont listen to the person above me:)

Answer:

y<x+1

Step-by-step explanation:

How long is 139.5 minutes

Answers

Answer:

[tex]\mathrm{2.325 \: hours}[/tex]

Step-by-step explanation:

[tex]\frac{139.5}{60}=2.325[/tex]

[tex]\mathrm{2 \: hours\: 19.5 \: minutes}[/tex]

quick plz....When √98- √128 is simplified it is equal to:

A,15√2

B, -√30

C. -√2

D. 10√3

Answers

It’s C thank me later

Answer:

[tex]-\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{98} -\sqrt{128}[/tex]

[tex]\sqrt{49 \times 2} -\sqrt{64 \times 2}[/tex]

[tex]\sqrt{49} \sqrt{2} -\sqrt{64} \sqrt{2}[/tex]

[tex]7\sqrt{2}-8\sqrt{2}[/tex]

[tex]=-\sqrt{2}[/tex]

A school allots £1500 to spend on a trip to the theatre. Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off A train ticket for the day will cost £15 each. If 2 teachers and the maximum number of students attend, how much money will the school have left over?

Answers

Answer:

Step-by-step explanation:

School allots £1500 to spend on a trip to the theatre.

Theatre tickets have a regular cost of £35 each and are on offer for 1/5 off

therefore 4/5*35 = 28 for the tickets

:

A train ticket for the day will cost £15 each.

therefore total cost for each: 28 + 15 = 43 pounds each

:

If 2 teachers and the maximum number of students attend, how much money will the school have left over?

:

let s = no. of students

43(s+2) =< 1500

43s + 86 =< 1500

43s =< 1500 - 86

43s =< 1414

s =< 1414/43

s =< 32.88, 32 students max

:

find how much left over. plus 2 teachers = 34 people

1500 - 43(34) =

1500 - 1462 = 38 pounds left over

Evaluate the following expression

Answers

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

Which line segment is only a chord of F?

Answers

Answer:

line AB is a chord

Step-by-step explanation:

Any line that segments a circle and joins two points at the circumference of a circle is called a chord.

line AB is a chord

While

line EC is a diameter

line DF is a radius

Answer:

Correct Answer should be AB

Step-by-step explanation:

I toke the quiz so I know its correct

Which of the graphs below would result if you made the leading term of the following function negative? f(x)=2x^4+2x+2

Answers

If we change the sign of the leading coefficient of the polynomial, the graph of the new polynomial will open downwards. The graphs can be seen at the end.

Which graph do we get when the leading coefficient is negative?

Here we start with the polynomial:

[tex]f(x) = 2x^4 + 2x + 2[/tex]

The leading coefficient is one that multiplies the term with the largest exponent. In this case, is 2.

Changing its sign will cause the polynomial's arms now will open downwards (instead of upwards, as in the original polynomial).

The graphs of both functions can be seen below. The green is the original one, and the blue is the changed one.

If you want to learn more about polynomials:

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Which expression has the greatest value?
(1 + 2)3
(15 - 1)0
(5-2) 2
(2 x 4)1

Answers

The first one because it has the greatest value of 9

Answer:

(1+2)3

Step-by-step explanation: it equals 9 the the other expressions  equal 8 0 and 6 so option one is the greatest value.

Alhondro wants to determine the average shoe size of all of male students in his school

Answers

We need the rest of the question

Correct answer gets marked as Brainliest!!! (A1) is the question

Answers

Answer:

See attached:

(25 POINTS) Write the inequality of the following graph?

Answers

Answer:

f(x) > -x + 2

Step-by-step explanation:

First I found the equation of the line.

The y intercept is at 2 so I know to add 2 at the end

The slope is -1 since it is going downwards

Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than

Putting all that together, the equation is f(x) > -x + 2

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