what is the solution to the system 3x+2y=-3 and 9x +4y=3

Answers

Answer 1

Answer:

x=3, y=-6

Step-by-step explanation:

As you know there are many ways to solve this question! First is Subsitutuion, Second is Elimination, and Third is Graphing!

Let’s begin with our detailed answer:

As you know subsitution is solving for a variable and then it can be used as a variable substitution to figure out x and y.

So in our system of equations:

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

I will just take one equation and solve for x but it actually dosent matter which variable you subsitutue and solve for.

[tex]\left \ {3x+2y=-3}} \atop {9x+4y=3}} \right.[/tex]

To eliminate this question we can divide the top part by -3:

[tex]\left \ {-9x-6y=9}} \atop {9x+4y=3}} \right.[/tex]

Let‘s sum these system of equation and we get: [tex]y=-6[/tex]

We can now insert y as -6 and solve for x:

[tex]3x-12=-3[/tex]

[tex]x=3[/tex]

So, [tex]x=3, y = -6[/tex]

Answer 2

Answer:

(3, - 6 )

Step-by-step explanation:

3x + 2y = - 3 → (1)

9x + 4y = 3 → (2)

Multiplying (1) by - 3 and adding to (2) will eliminate the x- term

- 9x - 6y = 9 → (3)

Add (2) and (3) term by term to eliminate x

0 - 2y = 12

- 2y = 12 ( divide both sides by - 2 )

y = - 6

Substitute y = - 6 into either of the 2 equations and solve for x

Substituting into (1)

3x + 2(- 6) = - 3

3x - 12 = - 3 ( add 12 to both sides )

3x = 9 ( divide both sides by 3 )

x = 3

solution is (3, - 6 )


Related Questions

QUESTION 15 PLEASE HELP ME ASAPP

Answers

Answer:

The line shifted up 8 units

Step-by-step explanation:

the product of two factors is 4200.if one of the factors is 60.what is the other factor? ​

Answers

Answer:

Other factor is 70

Step-by-step explanation:

Let,

Other factor = x

Then,

x × 60 = 4200

x = 4200/60

x = 420/6

x = 70

Another factor is 70.

Answer:

Solution given

let two factor be a and b.

if one factor a=60, then b=?

we have

product of factor=4200

a*b=4200

60*b=4200

b=[tex]\frac{4200}{60}=70[/tex]

Step-by-step explanation:

in a bag there are only red counters blue and white counters one is taken from the bag the table shows the probability of getting a red counter red red d 0.35 the number of white is 2:3 what’s probability of getting blue and white counter

Answers

The probability of getting blue and white counter is 0.2275

Probability is the likelihood or chance that an event will occur

Probability = n(E)/n(S)

n(E) is the number of eventsn(S) is the sample space

If the the probability of getting a red counter red red 0.35, the probability of getting a blue will be 0.65

Pr(getting blue and white counter) = 0.35 * 0.65

Pr(getting blue and white counter) = 0.2275

Hence the probability of getting blue and white counter is 0.2275

Learn more on probability here: https://brainly.com/question/24756209

help me out with this question .?​

Answers

1

Step-by-step explanation:

true ya false you say me

Please help me solve this math problem

Answers

Answer:

I think it is undefined.

TRANSLATE THIS SENTENCE INTO AN EQUATION FOR BRAINLIEST!!!

Answers

Answer:

d x 7 = 105

Step-by-step explanation:

MCQS:
Solve for X: X-3 = 27/64

A. 42
B. 43
C. 34
D. 14

Answers

Answer:

219/64

Step-by-step explanation:

x - 3 = 27/64

64(x - 3) = 27

64x - 192 = 27

64x = 27 + 192

64x = 219

x = 219/64

Answer:

[tex]x = 3.4218[/tex]

Step-by-step explanation:

[tex]x -3=\frac{27}{64}[/tex]

[tex]64(x-3)=27[/tex]

[tex]64x-192=27[/tex]

[tex]64x=27+192[/tex]

[tex]64x=219[/tex]

[tex]\frac{64x}{64} =\frac{219}{64}[/tex]

[tex]x = 3.4218[/tex]

Hope this helps you :-)

Let me know if you have any other questions :-)

PLS PLS PLS HELP ON GEOMETRY PLS

Answers

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

Translate the sentence into an inequality.
The sum of a number times 2 and 21 is at least 22.
Use the variable b for the unknown number.

Answers

2b + 21 < 22

b is the unknown number so multiply it by 2 to get 2b then add 21, bring the less than sign and write the 22 after the less than sign

Find the sum 35 + 36 + 37 + 38 + ... + 109 + 110.
.
The sum is

Answers

Answer:

327

Step-by-step explanation:

Answer:

The empty space in the equation doesn't make sense. We could answer this question if it gave us the sum and we solved for x. But, for the sake of the question let's get rid of the periods. The question would now be 35 + 36 + 37 + 38 + 109 + 110. When we solved the equation we would get 365.

Step-by-step explanation:

help I suck at math..

Answers

Answer:

The correct answers are:

B

D and

F

Step-by-step explanation:

Hope it can help you lovelots

#LEARN WITH BRAINLY

for 0 ≤ θ < 2 π what are the solutions to sin^2(θ) =2sin^2(θ/2)

Answers

Answer:

Option A: [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Step-by-step explanation:

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2}), [0,2\pi)[/tex]

[tex]sin^2(\theta)=2sin^2(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2sin(\frac{\theta}{2})sin(\frac{\theta}{2})[/tex]

[tex]sin^2(\theta)=2(\sqrt{\frac{1-cos(\theta)}{2}})(\sqrt{\frac{1-cos(\theta)}{2}})[/tex]

[tex]sin^2(\theta)=2(\frac{1-cos(\theta)}{2})[/tex]

[tex]sin^2(\theta)=\frac{2-2cos(\theta)}{2}[/tex]

[tex]sin^2(\theta)=1-cos(\theta)[/tex]

[tex]1-cos^2(\theta)=1-cos(\theta)[/tex]

[tex]-cos^2(\theta)=-cos(\theta)[/tex]

[tex]cos^2(\theta)=cos(\theta)[/tex]

[tex]cos^2(\theta)-cos(\theta)=0[/tex]

[tex]cos(\theta)[cos(\theta)-1]=0[/tex]

[tex]cos(\theta)=0[/tex]

[tex]\theta=\frac{\pi}{2},\frac{3\pi}{2}[/tex]

[tex]cos(\theta)-1=0[/tex]

[tex]cos(\theta)=1[/tex]

[tex]\theta=0[/tex]

Therefore, the solutions contained within the interval are [tex]\{0,\frac{\pi}{2},\frac{3\pi}{2}\}[/tex]

Helpful Tips:

Half-Angle Formula: [tex]sin(\frac{\theta}{2})=\pm\sqrt{\frac{1-cos(\theta)}{2}}[/tex]

Pythagorean Identity: [tex]sin^2(\theta)+cos^2(\theta)=1,sin^2(\theta)=1-cos^2(\theta),cos^2(\theta)=1-sin^2(\theta)[/tex]

[tex]\sin^2 \theta = 2 \sin^2 \left(\dfrac{\theta}2 \right)\\\\\implies \sin^2 \theta = 1- \cos 2 \cdot \dfrac{\theta}2\\\\\implies \sin^2 \theta = 1- \cos \theta \\\\\implies 1-\cos^2 \theta = 1 - \cos \theta \\\\\implies -\cos^2 \theta - \cos \theta = 0\\\\\implies \cos^2 \theta - \cos \theta = 0\\\\\implies \cos \theta( \cos \theta -1) = 0\\\\\\\text{Now,}\\\\\cos \theta = 0\\\\\implies \theta = n\pi + \dfrac{\pi}2\\\\\text{For n = 0,1 and}~ [0.2\pi)\\\\[/tex]

[tex]\theta = \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

[tex]\text{Again,} \\\\\cos \theta -1= 0\\\\\implies \cos \theta = 1\\\\\implies \theta = 2n\pi\\\\\text{For n= 0 and}~ [0,2\pi)\\\\\theta = 0\\\\\text{Combine solutions,}\\\\\theta = 0, \dfrac{\pi}2, \dfrac{3\pi}2[/tex]

3х + 5x
Pls help (sorry if this question got deleted)

Answers

Answer:

8x

Step-by-step explanation:

3x+5x=8x

3+5=8

x is the same variable.

help me with this please

Answers

Step-by-step explanation:

the scale factor is 1 : 150

you don't know what that means ?

it means that every unit (here cm) in the diagram corresponds in reality to 150 units.

so, 1 cm in the diagram is 150 cm in reality.

therefore we only need to multiply the sizes in the diagram by 150, and we get the real sizes.

length : 5 × 150 = 750 cm (7.5 m)

breadth : 3 × 150 = 450 cm (4.5 m)

and the perimeter is as for every rectangle :

2×length + 2×breadth = 2×750 + 2×450 = 1500 + 900 =

= 2400 cm (24 m)

Hemp help help math math

Answers

Answer:

This is not a linear function, as it isn't any function because 3 has two outputs.

Step-by-step explanation:

Explained above

How do you solve this??

Answers

Answer:

look it up in internet and find th right answers

Answer:

g(x)=3|x| is the first box

f(x)=1/3|x| is the second box

Step-by-step explanation:

you can solve these type of questions by looking at the slope which is in front of the x.

since 1/3 is smaller than 3 it's going to have lower slope resulting in 3 to incline faster

What are the coordinates of the point (-4, 2) after a translation 2 units left and 2 units up?

A (-2, 0)
B (-6,0)
C (-2, 4)
D (-6, 4)

Answers

Answer:

the answer you're looking for is D. when you move to the left the -4 becomes -6 and when you move up 2 becomes 4.

3. Which of the following is a rational
number that is not an integer?
A-2
C 0
B -0.5
D 4

Answers

Step-by-step explanation:

-0.5 cause decimals and fraction are not included

One positive number is 7 more than twice another. If their product is 1425, find the numbers.

Answers

Answer:

25 and 57.

Step-by-step explanation:

Let the lowest number be x then the other is 2x + 7, So:

x(2x + 7) = 1425

2x^2 + 7x - 1425 = 0

2 * - 1425 = -2850 = -2 * 3 * 5 * 5 * 19

We need 2 numbers whose product is -2850 and whose sum is + 7.

These are 3 * 19 = 57 and -2* 5 * 5 = -50 so we write:

2x^2 - 50x + 57x - 1425 = 0  Now we factor by grouping:

2x(x - 25) + 57( x - 25) = 0)

(2x + 57) ( x - 25) = 0

x = -57, 25.

We ignore the negative as we are given that the number is positive,

x = 25 is one number and the other is 2(25) + 7 = 57.

83 devided by 3, with remainders

Answers

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

ANSWER: 81 = 27 x 3 + 2
Ok done. Thank to me :>

HELP!!!! PLEASE NO LINK SCAM THO



Which graph shows all natural numbers less than 3?
OA)
-4 -3 -2 -1
+
4
o
1
2
3
+
+
OB) -4 -3 -2 -1
+
2 3
o
1
4
+
+
OC) -4 -3 -2 -1
+ +
2 3 4
o
1
OD)
-4 -3 -2 -1
+ +
+
0 1 2 3 4

Answers

Answer: C

Step-by-step explanation:

Answer:

The Answer Is B

Step-by-step explanation:

You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?

Answers

Answer:

Step-by-step explanation:

FV = PMT [((1 + r)ⁿ - 1) / r]

PMT = $300

r = 0.04/12

n = 35(12) = 420

FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28

I = $274,119.28 - 300(420) = $148,119.28

I need help plz I've tried so many ways :(​

Answers

Answer:

Below in bold.

Step-by-step explanation:

0.3. e^3x = 27

Taking logs of both sides:

ln (0.3. e^3x) = ln 27

ln (0.3) + ln e^3x = ln 27

ln e^3x = ln 27 - ln(0.3)

3x = ln 27 - ln 0.3

3x = ln(27/0.3) = ln 90

x = 1/3 ln 90

x = ln (90^1/3)

Approximate value of x:

= 1.499936557

= 1.500 to the nearest thousandth.

USE THE DIATRIBUTIVE PROPERTY TO WRITE 6(W+5) AS AN EQUIVALENT EXPRESSION

Answers

Answer:

w = 5

Step-by-step explanation:

Step 1: Use the Distributive property to get 6w + 30.

Step 2: Divide 6w by 6 and cancel out both 6s.

Step 3: Divide 30 by 6 to get 5, and you have the answer.

Pls help as soon as possible thank you

Answers

Answer:

D

Step-by-step explanation:

F(g) falls between 0 and 49.58

Please look for the question in the picture.

Answers

Answer:

Negative

Step-by-step explanation:

Lets assume that B is 0.8 and C is -1.8.

0.8/-1.8 is approx. -0.44 which is a negative

Solve the system of two linear equations below graphically y= -x + 1 y= -1/3+ 3

Answers

Answer:

Step-by-step explanation:

There are 5 boxes of chocolates. If taking 200g out of each box, the remaining chocolates in the 5 boxes are exactly the same weight as the original 4 boxes. How many grams of chocolate is in each box?​

Answers

Answer:

1000

Step-by-step explanation:

So the taken chocolate weight equals to the original 1 box of chocolate.

Thus there are 200 x 5 = 1000g.

The orginal chocolate has 1000g each.

Which inequality represents all the solutions of 8(6x − 7) < 5(9x − 4)?

Answers

[tex]8(6x-7)<5(9x-4)\\\\\implies 48x- 56<45x -20\\\\\implies 48x-45x -56<-20\\\\\implies 3x < -20 +56\\\\\implies 3x<36\\\\\implies x < \dfrac{36}3\\\\\implies x<12\\\\\text{Interval,}~ (-\infty,12)[/tex]

LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)

Answers

Answer:

See below

Step-by-step explanation:

Dilation of 4

Z (0, -1) Z' (0, -4)

X (1, -1) X' (4, -4)

Other Questions
Try to find the slope Which measurement would changif you traveled from Earth to the moon? A.your weight B.your densityC. your mass D.your height Which detail is present in the second illustration but not in the poem?-the bird sitting on a statue-the man staring intently at the bird-the prominent bedroom doors-the dark shadows covering the walls A community hall is in the shape of a cuboid.The hall is 20m long, 15m wide, and 4m high. Graph y= 0.5x^2 - 4x +6 on the coordinate plane.Vertex:Is this considered a minimum or maximum point?Axis of symmetry: x=Roots: x= and x= Write an equation of a line that is perpendicular to y = 2/3 x + 8 and has a y-intercept of2.Answer in slope-intercept form for which value of x does each expression make sense:(square root) -2x^2(square root) (-2x)^3 PLEASE HELP QUESTION IN PICTURE i think its D but im not really sureee CAN SOMEONE HELP PLZZ IT DUE TO DAY The letter above was most likely written in response to: a. the purchase of the Louisiana Territory from France. b. passage of the Missouri Compromise. c. efforts to promote the American System. d. governmental attempts to force the removal of American Indians. It cost Faith $9.10 to send 91 text messages. How many text messages did she send if she spent $17.60? How did the ruling of McCulloch v Maryland affect the federal government?A) It limited the ability of the president to enforce laws giving more power to state governors.B) It allowed state courts to judge cases in which state and national laws conflicted weakening the US Supreme Court'sauthorityC) It established that the Supreme Court would judge all cases involving the US Constitution D) It increased the power of Congress to carry out its lawmaking duties Is Neil Armstrong a human? Yes or No. Have A reason to support your answer on the island of isabella, the tortoises used to survive the dry season in "drip pools" that form when the mist condenses off the leaves of overhead forest trees. what happened to the drip pools over time? how many questions can you miss on the permit test can someone help me with this question plsss Forces are needed to make a car do which of these?slow downspeed upstay on the groundall of the above someone please please please answer!!! the sum of 2 integers is 61 and their difference is 29.