Use SUBSTITUTION to solve the system
2x+y=-2
5x+3y=-4

Answers

Answer 1

Answer:

x=-2,y=2

Step-by-step explanation:

2x+y=-2 ----> y=-2-2x----(1)

25x+3y=-4 ---(2)

Replace (1) in (2)

5x+3(-2-2x)=-4

5x-6-6x=-4

-x=-4+6

-x=2

x=-2

If x=-2,then replace x in (1)

y=-2-2(-2)

y=-2+4=2


Related Questions

!Plsss help mee!! I will give u BRAINLYEST!!

What radius length would
make a circle with an
area of 78.5 in.2?

A. R=3 in
B. R=5in
C. R=10in
D. R=25in

Answers

Answer:

r≈5

the answer is b

The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.​

Answers

Answer:

The answer is t=4 s

Step-by-step explanation:

Answer: T=4s

Step-by-step explanation: it is option 2

3/5 ÷ 1/4 – 2/5 ^2 (these are fractions and ^2 this is a exponent)

Answers

Answer:

The answer is 7/100

2 questions for math?

Answers

Answer:

True

True

I am a Jedi

true and false is your answer

The cost before tax for an order of CDs from Music & More store was $214.60. If the store ordered 20 equally priced CDs, and the total shipping and handling fee was $15.00, what was the cost of one CD?

Answers

Answer:

Cost of one CD = $9.98

Step-by-step explanation:

Total cost = $214.60

Total shipping and handling fee = $15.00

Number of CDs = 20

Cost of 20 CDs = Total cost - Total shipping and handling fee

= $214.60 - $15.00

= $199.60

Cost of one CD = $199.60 / 20

= $9.98

Cost of one CD = $9.98

Answer:

$9.98

Step-by-step explanation:

took a test and got the question right (this was the answer)

On a certain hot​ summer's day, 291 people used the public swimming pool. The daily prices are $1.50 for children and $2.00 for adults. The receipts for admission totaled $472.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer: 219 children and 72 adults swam at the public pool that day.

Step-by-step explanation:

Let x = Number of children , y= Number of adults.

As per given,  x+y = 291      (i)

1.5x+2y = 472.50         (ii)

Multiply 2 on both sides of (i) , we get

2x+2y = 582  (iii)

Eliminate (ii) from (iii), we get

0.5x = 109.5

[tex]\Rightarrow x=\dfrac{109.50}{0.5}=219[/tex]

Put value of x= 219 in (i)

219+y= 291

⇒ y = 291-219 = 72

Hence, 219 children and 72 adults swam at the public pool that day.

I really need help I dont understand thank you

Answers

Answer:

Answer choice B

Step-by-step explanation:

Here is the form you are using:

y=mx +b

Substitute:

y=6x-5

Answer choice B

a small auditorium can seat 320 people which inequality best represents the number of people who can sit in the auditorium pls help I am in 5th grade I have been stuck on this for a week and two days now I have to finish this this is due tomorrow sorry if I spelled wrong!:)

Answers

Answer:

Step-by-step explanation:

Answer is p/320

Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?

Answers

Answer:

4

Step-by-step explanation:

because 25×11= 275 and 500-275 =225

50x4=200

225-200=25 you can buy 4 and 25$ is left over

Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Does anyone get this?

Answers

noo i don’t get it lol

can someone please help me ​

Answers

Try and use Desmos if you still need help comments

I NEED HELP PLEASE !!!

Answers

Answer:

14

Step-by-step explanation:

Just add both the numbers as positive to get total length since one is negative

5.3+8.7=14

Answer:

The length of the segment is 14.

Step-by-step explanation:

8.7 - (-5.3) = 14.

An easier way to do this is just by counting backwards kinda on the number line.

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

Heyy please answer pleaseeeeee help me

Answers

Answer:

no solution

Step-by-step explanation:

?????????????????????????????

Answers

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Value of x

[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }

[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]

[tex] \sf{x \degree = 120 \degree}[/tex]

[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Consider the polynomial 9n2+60n+100.
What are the square roots of the first and last terms?

square root of first term:

square root of last term:

Answers

First term: 3n
Last term: 10
Have a great day :)

Which inequality is graphed on the coordinate plane?

Answers

Answer:

B

Step-by-step explanation:

The slope is 4/1 which equals 4

the y int is 2

this gives us 4x+2

the line is dotted which mean there is no equal sign with the inequality

The shaded area is above the line, meaning y is greater

online sales result in 35% of sales being returned to their local brick-and-mortar store. what is 35% of 2,000 purchases?

a. 70
b. 240
c. 350
d. 700

Answers

Answer:

b

Step-by-step explanation:

b

Answer:

D) 700

Step-by-step explanation:

I used a calculator so sorry if I can't give a explanation

what’s the length of E to D
what’s the length of B to E

Answers

Given:

In triangle ACD, BE||CD, AB = 20 cm, BC = 5 cm, CD = 18 cm, AE = 26 cm.

To find:

(a) The length of ED.

(b) The length of BE.

Solution:

In triangle ABE and ACD,

BE||CD, so angle ABE and angles ACD are corresponding angles. So, their measure are equal.

[tex]m\angle ABE=m\angle ACD[/tex]          (Corresponding angles)

[tex]m\angle BAE=m\angle CAD[/tex]          (Common angle)

Now,

[tex]\Delta ABE\sim \Delta ACD[/tex]

Corresponding sides of similar triangles are proportional.

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}=\dfrac{AE}{AD}[/tex]

(a)

[tex]\dfrac{AB}{AC}=\dfrac{AE}{AD}[/tex]

[tex]\dfrac{20}{20+5}=\dfrac{26}{AD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{26}{AD}[/tex]

[tex]0.8=\dfrac{26}{AD}[/tex]

Isolate AD.

[tex]0.8AD=26[/tex]

[tex]AD=\dfrac{26}{0.8}[/tex]

[tex]AD=32.5[/tex]

Now,

[tex]AD=AE+ED[/tex]

[tex]32.5=26+ED[/tex]

[tex]32.5-26=ED[/tex]

[tex]6.5=ED[/tex]

Therefore, the length of ED is 6.5.

(b)

[tex]\dfrac{AB}{AC}=\dfrac{BE}{CD}[/tex]

[tex]\dfrac{20}{25}=\dfrac{BE}{18}[/tex]

[tex]0.8=\dfrac{BE}{18}[/tex]

Multiply both sides by 18.

[tex]14.4=BE[/tex]

Therefore, the length of BE is 14.4.

x^2+3x+37=-7x
I'm supposed to complete the square but my teacher did not explain it well at all. It would be really great if you showed the steps to get the answer :)

Answers

Answer:

x= -74 or -84

Step-by-step explanation:

x^2+3x+37=-7x

x^2+3x+7x+37=0

x^2+10x+37=0

this convert to following

[tex]( - b + - \sqrt{ {b}^{2} } - 4 \times a \times c) \div 2 \times a[/tex]

-b= -(10), a= 1, c =37

according to that

x= -74 or x= -84

Help!!!!!! Find x and y so the quadrilateral is a parallelogram.

Answers

Answer:

Conclusion:

The value of x = 7The value of y = 4

Step-by-step explanation:

Given

The parallelogram PQRS

We know that the diagonals of a parallelogram bisect each other.

Therefore,

RT = TP

Given RT = x and TP = 5x-28, so

x = 5x-28

5x = x+28

5x-x = 28

4x = 28

divide boh sides by 4

4x/4 = 28/4

x = 7

Thus, the value of x = 7

Similarly,

QT = TS

Given QT = 5y and TS = 2y+12, so

5y = 2y+12

5y-2y = 12

3y = 12

divide both sides by 3

3y/3 = 12/3

y = 4

Thus, the value of y = 4

Conclusion:

The value of x = 7The value of y = 4

8
A school board voted whether to adopt new math books. Those that voted yes
out numbered those that voted no by a ratio of 5 to 1. If 18 school board
members voted, how many voted yes for new math books and how many
voted no?

Answers

Answer:

15 people voted yes and 3 people voted no.

Step-by-step explanation:

Given that:

Ratio of yes to no = 5 : 1

Total number of board members who voted = 18

Let,

x be the number of times.

5x+x = 18

6x = 18

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{18}{6}\\x=3[/tex]

People who voted yes = 5(3) = 15

People who voted no = 3

Hence,

15 people voted yes and 3 people voted no.

how is solving an equation with the variable on each side similar to solving a two-step equation? (I’ll give brainliest :) )

Answers

Answer:

the first step in solving an equation with a variable on each sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable.

Step-by-step explanation:

Asubmarine is only allowed to change its depth by rising toward the surface in 60-meter stages. It starts off at -340 meters.
1. At what depth is it after
1.1 stage
2. 2 stages
3.4 stages
2. How many stages will it take to return to the surface?

Answers

Answer:

stage 1 -280

stage 2 -220

stage 3 -160

stage 4 - 100

it takes 6 stages to return to the surface.

Step-by-step explanation:

Help please and thank you!

Answers

17.5, i’m pretty sure :)

So what is the answer to The spinner below is spun twice. What is the probability of the arrow landing on a 3 and then on an odd number?

Answers

Answer: nijja what

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Mai is making personal pizzas for a party she uses 10 ounces of cheese to make four pizzas at this rate how much cheese will she need to make 18 pizzas?

Answers

Answer: 45

Step-by-step explanation:

From the question, we are informed that Mai is making personal pizzas for a party and that she uses 10 ounces of cheese to make four pizzas. The number of ounce per pizza will be:

= 10/4 = 2.50 ounces per pizza

Therefore, the number of ounces of cheese that will be needed to make 18 pizzas will be:

= 2.50 × 18

= 45 ounces of cheese

Plz help find each circle measure !!!!!

Answers

Answer:

for the first one it is

ED= 26

CF= 13

mED= 136

mHD= 68

mCE= dont know this one but the other ones im positive their right

Step-by-step explanation:

9514 1404 393

Answer:

  ED = 26; CF = 13; arc ED = 136°; arc HD = 68°; arc CE = 88°

  QU = 8; QR= 16; arc ST = 114°; arc QR = 114°; arc XT = 57°

Step-by-step explanation:

Chords the same distance from the center of the circle are the same length. Chords of the same length intercept arcs of the same angle measure. A radius perpendicular to a chord bisects it and the arc it subtends. The sum of arcs in a circle is 360°. These facts are used to solve the problems here.

__

Circle J

ED = 2×GD = 26

CF = GD = 13

arc ED = arc CD = 136°

arc HD = 1/2 arc CD = 68°

arc CE = 360° - 2×136° = 88°

__

Circle Y

QU = 1/2×ST = 8

QR = ST = 16

arc ST = arc QR = 1/2(360° -34° -98°) = 114°

arc XT = 1/2 arc ST = 57°

8. Solve for x:
3x + 8x = 44
A x= 4
B x= 44/11
C x= 11
D x=33

Answers

Answer:A

Step-by-step explanation:

just try putting 4 into x and you will see

3x +8x=44
11x=44
11x/11=44/11
X= 11


C x=11
Other Questions
How does President-elect Joe Bidens address, citing the unprecedented assault on the Capitol, compare to the remarks by President Trump? Number of weeks and amount of money in account chart help broIdentify the Terms:3x + 5x + 12 3 + 2x You are at the bottom of a mountain where the temperature is 74F. The top of the mountain is 5500 feet above you. What is the temperature at the top of the mountain? I will give brainliest to the correct answer! Which is rational and irroational What type of system is impacting weather in Houston?A) High pressure B) Low pressure C) Warm pressure D) Cold pressure please help me figure out this outfit help anyone ????????????? What was one of the major achievements of the Inca empireA. Creating a society in which all people where equalB. Allowing all citizens to choose their own religionC. Defeating the Spanish forces in south americaD. Ruling over one of the worlds largest empires Need some help dont understand it Someone help me please Match each principle with the phrase that best defines it.branches of governmentPower is divided among legislative,executive, and judicial branches.the federal systemPower is divided between state, local,and federal governmentsconstitutional democracyGovernment power is limited and basedon popular voteIntroDone In the movie Osmosis Jones how is the nervous system represented -4(-4d-5) answer pls kkkkk Which change of state takes place when a gas loses energy?A. condensationB. evaporationC. moltingD. solidification Simplify the following expression.[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex] In paragraph 15, how does Roy end the conflict with Dana?Answer choices for the above questionA. Roy insults Danas smoking habit, escalating the situation.B. Roy gives in, allowing Dana to maintain the upper hand.C. Roy begs the smaller kids on the bus for help, causing Dana to laugh.D. Roy tells Dana not to call him Tex, causing Dana to grab Roys head.-----------------------------------------------------------------------------------------------------What theme can be inferred from the way Roy ends the conflict with Dana in paragraph 15?Answer choices for the above questionA. During a conflict, its best to stand up for yourself and fight back.B. During a conflict, its best to call someone names and invade his personal space.C. During a conflict, its best to stay calm and rational.D. During a conflict, its best to taunt and make physical attacks.-----------------------------------------------------------------------------------------------------Throughout the story, Roys reaction to Dana Matherson supports a theme that illustrates the value of Answer choices for the above questionA. bullyingB. curiosityC. clevernessD. running Sarah worked 8 more hours than Paida (algebraic expression) ___Kumar has twice the number of goals as Jacob ___Addison is 3 years younger than Nathan ___ Find the missing angle.