What is the solution to the system of equation of 2x+3y=6 and x-3y=9

Answers

Answer 1

Answer:

x = 5

y = -4/3

Step-by-step explanation:

Solve by elimination by adding the two equations together:

2x + 3y = 6

x - 3y = 9

3y and -3y will cancel out. Then, solve for x:

3x = 15

x = 5

Plug in 5 as x into one of the equations, then solve for x:

x - 3y = 9

5 - 3y = 9

-3y = 4

y = -4/3

So, the answer is x = 5 and y = -4/3


Related Questions

Jasmine is planning a ski trip in the mountains with her friends. She can rent skis at the resort for $30 per day or she can buy skis to take with her for $150. Jasmine will also have to budget for a lift pass that costs $15 per day. How many days does she need to plan to ski in order for the cost of renting versus buying skis to cost the same for the trip?

Answers

Answer:

5 days.

Step-by-step explanation:

Jasmine has two options:

Rent skis at the resort for $30 per day.

Then if she rents the skis for N days, the cost will be:

C(N) = N*$30

Buy skis for $150

Now we can ignore the lift pass because she will pay that in both cases.

Now we want to find the number of days N such that the cost of renting is the same as the cost of buying.

Then we need to solve:

C(N) = $150

N*$30 = $150

N = $150/$30 = 5

So if you rent the skis for 5 days, you will pay the same as if you bought the skis.

Pls help! First correct answer gets brainliest!!

Answers

Answer:

3 and -(-2)

Step-by-step explanation:

It would be 3 and -(-2)

Triangle ABC has vertices located at A(1, -4), B(4, -6) and C(2, -1) on a coordinate grid. After it is reflected across the y-axis and a dilation of ½ is applied, what is the new coordinate of B? A. (4,6) B. (8,12) C. (2,3) D (-2, -3)

Answers

Answer:

[tex]B' = (-2,-3)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,-4)[/tex]

[tex]B = (4,-6)[/tex]

[tex]C = (2,-1)[/tex]

reflection across y

[tex]d = \frac{1}{2}[/tex]

Required

New coordinate of B

When reflected across the y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So:

[tex](4,-6) \to (-4,-6)[/tex]

Next is a dilation by 1/2

To do this, we multiply the new point by 1/2

So:

[tex]B' = (-4,-6) * \frac{1}{2}[/tex]

[tex]B' = (-4* \frac{1}{2},-6* \frac{1}{2})[/tex]

[tex]B' = (-2,-3)[/tex]

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679821480865132823066470938446095505822317253594081284811174502841027019385211055596446229489549303819644288109756659334461284756482337867831652712019091456485669234603486104543266482133936072602491412737245870066063155881748815209209628292540917153643678925903600113305305488204665213841469519415116094330572703657595919530921861173819326117931051185480744623799627495673518857527248912279381830119491298336733624406566430860213949463952247371907021798609437027705392171762931767523846748184676694051320005681271452635608277857713427577896091736371787214684409012249534301465495853710507922796892589235420199561121290219608640344181598136297747713099605187072113499999983729780499510597317328160963185950244594553469083026425223082533446850352619311881710100031378387528865875332083814206171776691473035982534904287554687311595628638823537875937519577818577805321712268066130019278766111959092164201989380952572010654858632788659361533818279682303019520353018529689957736225994138912497217752834791315155748572424541506959508295331168617278558890750983817546374649393192550604009277016711390098488240128583616035637076601047101819429555961989467678374494482553797747268471040475346462080466842590694912933136770289891521047521620569660240580381501935112533824300355876402474964732639141992726042699227967823547816360093417216412199245863150302861829745557067498385054945885869269956909272107975093029553211653449872027559602364806654991198818347977535663698074265425278625518184175746728909777727938000816470600161452491921732172147723501414419735685481613611573525521334757418494684385233239073941433345477624168625189835694855620992192221842725502542568876717904946016534668049886272327917860857843838279679766814541009538837863609506800642251252051173929848960841284886269456042419652850222106611863067442786220391949450471237137869609563643719172874677646575739624138908658326459958133904780275900994657640789512694683983525957098258226205224894077267194782684826014769909026401363944374553050682034962524517493996514314298091906592509372216964615157098583874105978859597729754989301617539284681382686838689427741559918559252459539594310499725246808459872736446958486538367362226260991246080512438843904512441365497627807977156914359977001296160894416948685558484063534220722258284886481584560285060168427394522674676788952521385225499546667278239864565961163548862305774564980355936345681743241125150760694794510965960940252288797108931456691368672287489405601015033086179286809208747609178249385890097149096759852613655497818931297848216829989487226588048575640142704775551323796414515237462343645428584447952658678210511413547357395231134271661021359695362314429524849371871101457654035902799344037420073105785390621983874478084784896833214457138687519435064302184531910484810053706146806749192781911979399520614196634287544406437451237181921799983910159195618146751426912397489409071864942319615679452080951465502252316038819301420937621378559566389377870830390697920773467221825625996615014215030680384477345492026054146659252014974428507325186660021324340881907104863317346496514539057962685610055081066587969981635747363840525714591028970641401109712062804390397595156771577004203378699360072305587631763594218731251471205329281918261861258673215791984148488291644706095752706957220917567116722910981690915280173506712748583222871835209353965725121083579151X2

Answers

Answer:pi

Step-by-step explanation:

pi

Answer:that eqauls pie

Step-by-step explanation:

If f(n) = 3n^2-7, then f(-2) equals___.

Answers

Answer:

5

Step-by-step explanation:

f(n)=3n^2-7

f(-2)=3(-2)^2-7

f(-2)=3(-2)(-2)-7

f(-2)=3(4)-7

f(-2)=12-7

f(-2)=5

PLEASE HELP.
Select the correct answer.
Solve the system of equations below.

5x + 2y = 9
2x - 3y = 15

Answers

Answer:

(3, -3)

Step-by-step explanation:

To solve for a system of equations, use substitution.

First, solve for one variable in an equation.

2x - 3y = 15

Add 3y to both sides.

2x = 3y + 15

Divide both sides by 2 to get x by itself.

x = 1.5y + 7.5

Put this in the other equation.

5x + 2y = 9

Substitute the variable.

5(1.5y + 7.5) + 2y = 9

Distribute the 5 inside the 1.5y + 7.5.

7.5y + 37.5 + 2y = 9

Combine like terms.

9.5y + 37.5 = 9

Subtract 37.5 from both sides.

9.5y = -28.5

Divide both sides by 9.5.

y = -3.

Now take this value and put it in the other equation to get your x.

2x - 3y = 15

Substitute variable.

2x - 3(-3) = 15

Multiply.

2x + 9 = 15

Subtract 9 from both sides.

2x = 6

Divide both sides by 2.

x = 3.

Your pair is (3, -3).

The circumference of a circle is 28. Contained in that circle is a smaller circle with area 36π. A point is selected at random from inside the large circle. What is the probability the point also lies in the smaller circle?

Answers

Answer:

[tex]Pr = \frac{9}{49}[/tex]

Step-by-step explanation:

Given

[tex]d = 28[/tex] --- big circle

[tex]A_2 = 36 \pi[/tex] --- area of small circle

Required

Probability that a point selected lands on the small circle

Calculate the area of the big circle using;

[tex]A_1 = \pi r^2[/tex]

Where

[tex]r = d/2[/tex]

So, we have:

[tex]r = 28/2 = 14[/tex]

This gives:

[tex]A_1 = \pi * 14^2[/tex]

[tex]A_1 = \pi * 196[/tex]

[tex]A_1 = 196\pi[/tex]

The probability that a point selected lands on the small circle is calculated by dividing the area of the small cicle by the big circle

This gives:

[tex]Pr = \frac{36\pi}{196\pi}[/tex]

[tex]Pr = \frac{36}{196}[/tex]

Simplify

[tex]Pr = \frac{9}{49}[/tex]

Which expression is not equal to 28? A. ( 9 + 25 ÷ 5 ) × 2 B ( 13 − 4 × 2 ) − 1 ] × 7
C. 42 ÷ 6 + 28 ÷ 4 D. 7 × [ 8 − ( 12 − 4 × 2 ) ]

Answers

Answer:

the answer is C

Step-by-step explanation:

Convert 6.3 meters to millimeters.

Answers

It would be 6,300 millimeters

Answer:6300mm

Step-by-step explanation:

PLEASEEEEEEEEEEEEEEEEE

Answers

Wait what? X =10 in Roman numbers therefore it’s d

(no links or files) Solve this equation using the quadratic formula. This question should be solved both ways. (1) Quadratic Formula and (2) Factoring

Answers

Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3

Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2

divide the sum of 15 and 16 by 5​

Answers

Answer:

6.2

Step-by-step explanation:

15+16=31

31/5=6.2

Step-by-step explanation:

[tex]15 + 16 \div 5 \\ calculate \: the \: sum \: of \: 15 \: and \: 16 \\ 31 \div 5 = 6 \frac{1}{5} \\ or \: 6.2[/tex]

(accounting)

What type of account is almost always included in all journal entries for banking activities?

A. Cash
B. expense
C. accounts payable
D. accounts receivable

Answers

Answer:

b

Step-by-step explanation:

expense is usually done everywhere.

Answer:

A

Step-by-step explanation:

Cash

which table represents a function? iready end of year test ! please help!! quick​

Answers

Answer:

top left

Step-by-step explanation:

a function is if there is only one number that isnt the same as the other x

ILL BRAINLIEST YOU
PLEASE HELP ME

Answers

I’m not able to see it clearly can you post another picture please

If the mean of the data set shown below is 11, find x.



x, 12, 8, 15

11.5
10
9

Answers

Answer:9

Step-by-step explanation:

You have to add it together

What type of function is represented by the table, and for what reason?
A.
linear, because the X values increase at a constant rate

B. Linear, because the graph of the points makes a line

C.
exponential, because the Y values for success of Integer values of eggs have a common ratio of four

D.
exponential, because the Y values for successive Integer values of X have a common ratio of 16

Answers

Answer:

D.

Step-by-step explanation:

Based on the attached picture we can say that function representing these values would be exponential because the Y values for successive Integer values of X have a common ratio of 16. This can be proven by multiplying each one of the y values by 16, which would give us the next y value in the successive set. For example,

2.5 * 16 = 40

40 * 16 = 640

640 * 16 = 10,240

Meaning that the values have a common ratio of 16, and are increasing exponentially.

Ivan is painting 3 walls in his living room. Each wall measures 9 3/4 feet tall by 14 1/4 feet wide. Ivan needs to estimate the total area he will paint in order to determine the amount of paint to purchase. Which expression best represents the estimated area in square feet that Ivan will paint?​ A. 3(10) + 3(14) B. 3(10) × 3(14) C. 3 + (10 × 14) D. 3(10× 14)

Answers

Answer:

3(10 × 14) cause its basically telling you to multiply

what percent of 4$ is 60 cents
no links ​

Answers

Answer:

15%

Step-by-step explanation:

You kind of have two ways to do this:

Way 1:

Find how many 60 cents fit into $4. To do that, divide $4 by $0.60 or 400 by 60. You get 6.66666667.

You can divide 100 by 6.66666667, and get 15%,

Way 2:

Knowing that 400 cents is 100%, you can divide 60 by the same number that you divide 400 by to get to 100. To get from 400 to 100, you divide by 4, so divide 60 by 4 and get the same answer, 15%

Hope that helps :)

I need help correct answer will get brainliest.

Answers

Answer:

2.85125 is the answer.

Step-by-step explanation:

according to the calculator

Answer:

2.75124851367

Step-by-step explanation:

8/8.41=951248513674+1.8=2.75124851367 so its 2.75124851367

Si 1 kg de naranjas cuesta 14 pesos y al final del día el dueño de la frutería cuenta 1124 pesos por venta de naranjas, a) ¿cuántos kilogramos vendió? b) ¿cuánto cuesta comprar 3⁄4 de kg de naranjas? Si una señora compra dos naranjas cuyo peso fue de 0.3 kg, c) ¿cuánto pagó? Si en la compra de 5 kg de naranja se hace un descuento del 10%, d) ¿cuánto se paga? e) ¿Cuántos tipos de números hay en el problema?

Answers

Answer:

La respuesta a cada una de las preguntas es:

a) Se vendieron 562/7 kilogramos de naranjas.b) Comprar 3/4 de kg de naranjas cuesta 10.5 pesos.c) La señora pagó 4.2 pesos.d) Se paga 63 pesos por 5 kg de anaranja con el descuento.e) Se utilizan números racionales y números naturales.

Step-by-step explanation:

a) Para calcular los kilogramos de naranjas vendidos durante el día, al tener el costo por kilogramo (14 pesos/kg) y la venta total (1124 pesos), puedes calcular de la siguiente forma:

Kilogramos vendidos = venta total / costo por kilogramoKilogramos vendidos = 1124 pesos / (14 pesos/kg)Kilogramos vendidos = 562/7 kg de naranjas.

b) Para identificar el costo de 3/4 de naranja, debes multiplicar 3/4 por el valor del kg de naranja (14 pesos/kg):

Costo de 3/4 kg = (3/4 kg) * (14 pesos/kg)Costo de 3/4 kg = 10.5 pesos.

c) Si la señora compra un peso total de 0.3 kg de naranja, para obtener el costo debes realizar la misma operación del ejercicio anterior, es decir, multiplicar los kilos comprados (0.3 kg) por el costo de cada kilogramo de naranja (14 pesos/kg):

Costo de 0.3 kg = 0.3 kg * (14 pesos/kg)Costo de 0.3 kg = 4.2 pesos

d) Para calcular el costo de 5 kg de naranja con un descuento del 10%, debemos multiplicar el costo por kilogramo (14 pesos/kg), por el número de kilogramos comprados (5 kg), y luego por el porcentaje restante tras el descuento (90%), puesto que el total es el 100% y le restamos el 10% de descuento, nos queda el 90%:

Precio total de 5 kg de naranja tras descuento = (14 pesos/kg * 5 kg) *90%Precio total de 5 kg de naranja tras descuento = 70 pesos * 90%Precio total de 5 kg de naranja tras descuento = 63 pesos.

e) De entre todos los tipos de números que hay, dentro de los ejercicios resueltos se hace uso de los números racionales (por el uso de fraccionarios) y de los números naturales (por el uso de los números enteros positivos).

What is the perimeter of a rectangle whose vertices are (2,7) (8,7) (211) (8,11)?

A) 24
b) 12
c)32
d) 40
e) 20

Answers

Answer:

e) 20

Step-by-step explanation:

Segment lengths:

|(2, 7) -> (8, 7)| = |(8-2, 7-7)| = |(6, 0)| = 6

|(8, 7) -? (8, 11)| = |(8-8, 11-7)| = |(0, 4)| = 4

because we know it's a rectangle, we can infer that the other two sides also have lengths 4 and 6, so the perimeter is 4+4+6+6=20

There are blank
legs for every 4 ears.
There are blank
legs for every 1 ear

Answers

what’s the question i don’t understand

Answer:

There are 8 legs for every 4 ears.

There are 2 legs for every 1 ear.

Step-by-step explanation:

The pig and the mouse have a total of 4 ears.

We can count to see that there are 8 legs for every 4 ears.

We want to find a ratio of legs to ears that is equivalent to 8:4

Plsss hElpp!!!!! TY!!

Find the area of the circle below, to the nearest tenth. Use 3.14 for t.


Answers

Given:

A circle with diameter 9 cm.

To find:

The area of the circle.

Solution:

The area of a circle is:

[tex]A=\pi r^2[/tex]                   ...(i)

Where r is the radius.

We know that, the diameter of a circle is twice than its radius.

The diameter of the given circle is 9 cm.

[tex]r=\dfrac{9}{2}[/tex]

[tex]r=4.5[/tex]

Substituting [tex]r=4.5, \pi =3.14[/tex] in (i), we get

[tex]A=(3.14)(4.5)^2[/tex]

[tex]A=(3.14)(20.25)[/tex]

[tex]A=63.585[/tex]

[tex]A\approx 63.6[/tex]

Therefore, the area of the given circle is 63.6.

Of the cans of soup in Rolando’s cupboard, 2/4
are tomato and
1/3 are vegetables. What fraction of the cans of soup in Rolando’s cupboard are either tomato or vegetable?

A
5/6





B
6/20



C
19/20



D
8/12

Answers

Answer:

A

Step-by-step explanation:

To find the answer, convert the fractions so that they have the same denominator. 2/4 can be 3/6, since both of them are one half. 1/3 can be 2/6 since both are a third. 3/6 + 2/6 = 5/6.

can anybody help me with these?​

Answers

A=(-1,-1) B=(1,3)C=(2,5)D=(-2,-3)E=(3,7)

Taylor is building doghouses to sell. Each doghouse requires 3 full sheets of plywood which Taylor cuts into new shapes. The plywood is shipped in bundles of 14 full sheets. How many doghouses can Taylor make from 12 bundles of plywood?

Answers

Answer:

Step-by-step explanation:

taylor is building doghouses to sell. each doghouse requires 3 full sheets of plywood which taylor cuts into new shapes. the plywood is shipped in bundles of 14 full sheets. how many doghouses can taylor make from 12 bundles of plywood?

Please help me with this

Answers

Answer:

216in

Step-by-step explanation:

6 + 8 + 10 = 24

24 * 9 = 216

A family wants to rent a car to go on vacation. Company A charges ​$50.50 and 11¢ per mile. Company B charges ​$60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A​?

Answers

Answer:

3 more cents per mile

Step-by-step explanation:

Write the ratio 1:8 : 4:2 in its simplest form

Answers

Answer:

1/8 and 2/1 or 1:8 and 2:1

Step-by-step explanation:

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