solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12

Answers

Answer 1

Answer: x =3; y = -2

[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]

Step-by-step explanation:

Answer 2

Answer:

x = 3, y = -2.

Step-by-step explanation:

5x + 6y = 3

2x - 3y = 12           Multiply this by 2:

4x - 6y = 24           Now add this to the first equation:

9x = 27

x = 3.

Substitute x = 3 in the second equation:

2(3) - 3y = 12

-3y = 12 - 6 = 6

y = 6 / -3

y = -2.


Related Questions

Solve the equation for all real solutions.
12v2 + 310 + 20

Answers

Answer:

I think I know the answer but what is the v for between the 12 and the 2

Step-by-step explanation:

Answer:

12v² + 330

Step-by-step explanation:

Collect like terms: 12v² + (310 + 20)

Simplify: 12v² + 330

May I please have Brainliest?!!!!

SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
C(x) = x^3-27x^2+240x+850.
a. Where is C(x) decreasing?
b. Where is C(x) increases?

Answers

Answer:

a) [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex].

b) [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].

Step-by-step explanation:

Let [tex]C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850[/tex], where [tex]x[/tex] is the quantity of insecticide, measured in hundreds of liters, and [tex]C(x)[/tex] is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of [tex]C(x)[/tex] are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

[tex]C'(x) = 3\cdot x^{2}-54\cdot x+240[/tex] (1)

Please notice that regions where C(x) is increasing has [tex]C'(x) > 0[/tex], whereas [tex]C'(x) < 0[/tex] when [tex]C(x) < 0[/tex].

We notice that [tex]C(x)[/tex] is increasing in two regions: (i) [tex](+\infty, 8\,s)[/tex] and (ii) [tex](10\,s,+\infty)[/tex]. Besides, [tex]C(x)[/tex] decreases in [tex](8\,s, 10\,s)[/tex].


Sporting Goods sells 10 baseballs for $87.50. Write an equation that you can use to calculate the
cost C for any purchase of baseballs b at

Answers

(87.50 divided by 10) times # of Bballs purchased = C cost of any balls

(87.50/10)b=c

What is the slope of this graph ?

Answers

Answer:

5/2

Step-by-step explanation:

rise/run. the graph rises 5 and over 2 to the next point

Answer: -5/2

*I used the slope formula too just to make sure*

a small toy car costs $3 a large toy car cost 5 times as much as the small one.

Answers

Answer:

$15

Step-by-step explanation:

Good Morning!

If the small toy car costs $3.00, and the large toy car costs 5 times as much as the small one, we can multiply the value of the small car by five to find the value of the large car.

Since five times 3 = 15, the value of the large toy car is $15.00.

~theLocoCoco

NEED HELP ASAP WILL GIVE BRAINLIEST
Review the diagram.

On a coordinate plane, a ramp is 25 degrees from the x-axis in quadrant 1. An object has a vector labeled 300 pounds.

An object is pulled up a ramp with a 25° incline. The force required to move the object is 300 pounds. What is the component form of the force vector?

(78, 290)
(290, 78)
(127, 272)
(272, 127)

Answers

Answer:

D. (272, 127)

Step-by-step explanation:

It's actually not A, I just took the test. The right answer is D.

Answer: D) (272, 127)

Step-by-step explanation: :D

Which Shape is NOT quadrilateral

Answers

Answer:

the pentagon (3rd one)

Step-by-step explanation:

definition of a quadrilateral literally means a shape with 4 sides

Write the answer in standard form. The line has a slope of -67 and contains the point (-5, -8). g

Answers

Given that,

Slope of the line, m = -6/7

It contains the point (-5,-8)

To find,

The equation of line.

Solution,

Use the formula as follows :

y = mx+b

Put x = -5 and y = -8

[tex]-8=\dfrac{-6}{7}(-5)+b\\\\b=-8-\dfrac{6}{7}\times 5\\\\b=-12.28\\\\=-\dfrac{86}{7}[/tex]

So, the equation of line is :

[tex]y=\dfrac{-6}{7}x-\dfrac{86}{7}[/tex]

12x^3-9x^2 factorised




How would you answer this?..

Answers

Answer:

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(12 • (x3)) - 32x2

STEP

2

:

Equation at the end of step

2

:

(22•3x3) - 32x2

STEP

3

:

STEP

4

:

Pulling out like terms

4.1 Pull out like factors :

12x3 - 9x2 = 3x2 • (4x - 3)

Final result :

3x2 • (4x - 3)

Plz help me, DUE TODAY

Answers

Answer:

-200 ft

Step-by-step explanation:

sea level is 0 ft

Answer:

Its -200ft because sea is 0

3. A fish is 18 feet below the surface of a lake. The fish swims up 12 feet before diving 45 feet. What equation can be used to find the current depth of the fish?​

Answers

Answer:i think its -51

Step-by-step explanation:(-18+12)-45


please help! thanks :)

A file that is 247 MB is being downloaded.

if the download is 17.5% completed, how many megabytes have been downloaded? Round your answer to the nearest 10th.

Answers

Answer:

43.2 MB

Step-by-step explanation:

The amount that has been downloaded is 17.5% of 247 MB. This is equal to 17.5% [tex]\times[/tex] 247 (in general, "of" always indicates that you should multiply). 17.5% is equal to [tex]17.5/100[/tex], or 0.175.

Therefore, the amount that has been downloaded is 0.175 * 247, which is 43.225 MB. Rounded to the nearest tenth, this is 43.2 MB.

if x satisfies 7x+9=58, what is the value of 7-6x?

Answers

Answer:

x=7

Step-by-step explanation:

x/5 = 8/9 what is x​

Answers

Answer:

4.444444

Step-by-step explanation:

What is the y-intercept when a line has a slope of 1/2 and
passes
through the point (2, -1)?

Answers

Answer:

-2

Step-by-step explanation:

y=ax+b

Put the numbers into that equation.

-1=1/2*2+b

Simplify:

-1=1+b

-1-1=b

-2=b

Hope this helped! :)

solve each equation by finding square roots. If the equation has no real number solution, write no solution. 5z^2-45=0

Answers

Answer:

Z = +3

Step-by-step explanation:

3 squared is 9 and 9 times 5 is 45 so 45 minus 45 is zero

Answer:

Z = +or- 3, or Option A, would be the best answer choice out of the ones provided above.

6 vacas por cada 5 gallinas​

Answers

yo soy ingles

answer is 150


which of the fractions 13/20, 3/5, 3/4 and 7/10 is greatest​

Answers

Answer:

3/4

Step-by-step explanation:

3/4

We can change all fractions to denominator 20 to easily vary them

13/20=13/20

3/5=12/20

3/4=15/20

7/10=14/20

7/24.15 what is the anwser?

Answers

Answer:

0.28985507246

Step-by-step explanation:

Answer:

if you meant 7 divided by 24.25 your answer would be 20/69 or 0.2898 in decimal form

Step-by-step explanation:

Alatio is used to make comparisons between 2 quantities.
O True
O False

Answers

Answer: True

Step-by-step explanation:

A normal population has a mean m=33 and standard deviation s = 9. What is the probability that a randomly chosen value will be greater than 44?

Answers

Answer: 0.1112

Step-by-step explanation:

Let X be a random variable .

Given: A normal population has a mean m=33 and standard deviation s = 9.

The probability that a randomly chosen value will be greater than 44 will be :-

[tex]P(X>44)=P(\dfrac{X-m}{s}>\dfrac{44-33}{9})\\\\=P(Z>\dfrac{11}{9})\\\\=P(Z>1.22)\\\\ =1-P(Z<1.22)\\\\=1-0.8888\\\\=0.1112[/tex]

Hence, the probability that a randomly chosen value will be greater than 44 = 0.1112

A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%

Given:

mean m=33

standard deviation s = 9

probability = ?

Solution:

(34-39)/9 = -0.5556

which mean

34 is -0.5556 standard deviations from the mean.Using the normal distribution table,

P(Z<-0.5556) ≈ 0.28774

or 28.774%

Thus, A normal population has a mean m=33 and standard deviation s = 9. the probability that a randomly chosen value will be greater than 44 is - 28.774%

Learn more:

https://brainly.com/question/475676

Tell whether the triangles are similar.Explain.

Answers

Answer: 13. yes 14. no

Step-by-step explanation:

13. same angles sized down

14. different angles sized down

3x+y=-8
-2x-y=6

Find X and Y By Substituting

Answers

(-2,-2) is the answer .............

Given: a∥b, m∠1 = 71º Find m∠5, m∠8

Answers

Step-by-step explanation:

m <5=71

m <8=109

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

Answer:

∠5 = 71°

∠8 = 109°

Step-by-step explanation:

∠1 = 71°

∠5 = 71°  (the same as ∠1 = 71°) its a corresponding angle

∠8 = 180 - ∠5

∠8 = 180 - 71

∠8 = 109°

I'm giving everything. The wrong answer will be reported,].

Answers

B is the correct answer

4 5/6 x 2/5 what is this answer

Answers

Answer:

[tex]1\frac{14}{15}[/tex]           or exact form [tex]\frac{29}{15}[/tex]

Step-by-step explanation:

Um bc im trap bunny bubbles

Please help, really want to get this done.

Answers

Answer:

1. C

2. B

3. A

4. D

is the correct answer

Answer:

1. 1/3 --> all sides in an equilateral triangle are equal, so the constant of proportionality would be 1/3

2. 10/4*9 = 22.5

3. 8/2 = 4

4. c/g = m

Seth has 2 ¾ candy bars to give away. If he gives each person ⅛ of a candy bar, how many people will get candy?

Answers

Answer:

22 people

Step-by-step explanation:

Change 2 3/4 into a fraction, 11/4.

Then divide by 1/8

11/4 x 8/1 = 22

Where do most interactions between the three non-living Earth systems occur? *NEED HELP ASAP, WILL MARK BRAINLIEST!!!*

Answers

EARTH IS THE SOLAR SUSTEM

can u pls help me with this question ​

Answers

Answer:

I think is 2/9 but I may be wrong

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