How do you do the elimination method on these equations: 3x = y+5 and 2x+y=5

Answers

Answer 1

Answer:

[tex](2,1)[/tex]

Step-by-step explanation:

Let's first write down the first in traditional form:

[tex]\left \{3x-y=5} \atop {2x+y=5}} \right.[/tex]

At this point, let's choose the order we want to do it.

Eliminating x: Let's multiply the first by 2, the second by 3, and subtract one from the other. Rest is simple algebra

[tex]2I-3II: 6x-2y -6x-3y = 10-15\\-5y=-5 \rightarrow y=1[/tex]

Eliminating y: Let's simply add the two equations together. Rest is simple algebra

[tex]I+II:3x-y+2x+y = 10\\5x=10 \rightarrow x = 2[/tex]


Related Questions

HELP ASAP


Solve for the measure of ∠PMR. Show your work and explain how you got your answer.

Answers

Answer:

[tex]gy78093 x^{2} 67[/tex]

Step-by-step explanation:

: Mr. Burkett drove his car at an average speed of 70 miles per hour for 3.5 hours and then traveled at an

average speed of 65 miles per hour for 2.5 hours. What was the total distance in miles that he traveled during this time?

Answers

Answer:

Mr Burkett travelled 407.5 miles during his full trip.

Step-by-step explanation:

First, we must determine the distance he travelled in the first 3.5 hours. Luckily, we know his speed during that time so we can just multiply 70 miles per hour by 3.5 hours. That is 245 miles.

In the second step, we must determine the distance he travelled during the second part of his trip where he slowed down a bit. 65 miles per hour times 2.5 hours is 162.5 miles.

Finally, we can just add them! 245 + 162.5 = 407.5.

3. A dish contains 100 candies. Juan removes candies from the dish each day and no

candies are added to the dish. On day 1, Juan removes 1 candy. On day 2, Juan

removes 2 candies. On each day that follows, Juan removes 1 more candy than he

removed on the previous day. After day n, Juan has removed a total of at least 64

candies. What is the smallest possible value of n?



Please give answers and how to solve it step by step thank you!!!

Answers

Answer:

11

Step-by-step explanation:

If i am correct n= the days so with the days adding up day 10 juan would have 55 of the 100 candies, day 11 he would have 66. The statement said at least 64, so it would have to be 64 or the closet amount to 64 but it cannot be lower than 64. So there for 66 is the closest to the given amount, and in order for juan to get 64 he would need to take candies out for 11 days.

The verticies of a triangle are formed by the intersections of 3 lines: y=x x=6 y= -1/3x +4 (graph it please. also it's due in like 15 minutes so please hurry)

Answers

Would appreciate brainly <3

An item sells for $40. The sales tax is 8%. What is the total cost of the item?

Answers

Answer:

43.20

Step-by-step explanation:

I looked up what is 8% of 40 then added it to 40

Step-by-step explanation:

the item sold $40

the sales tax 8%

8/100*40

3.5

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided 20 ctn 8 Citi 6 Cm 12 CITL 16 cm Drawing not to scale The two triangles above are similar a. Find x using the ratio of the sides 12 cm and 16 cm. 20 T 12 16 Show your work b. Find x using the ratio of the sides 6 cm and 8 cm Show your work C. Explain why the answers to (a) and (b) should be the same​

Answers

No se ha dado el médico de la vuelta a las dos de vuelta de las puertas del teléfono y ha dicho

what are the values of each variable

Answers

Answer:

x=14

Step-by-step explanation:

2x+4=3x-10

Add 10 to both sides, leaving you with

2x+14=3x

Subtract 2x from both sides, leaving you with

x=14

X=14

2x+4=3x-10
4=x-10
14=x

and side q has a
In the 30-60-90 triangle below, side s has a length of
length of
30°
g
10
90°
60°
S
A. 5.10.15
B. 10.13.20
C. 105: 105

Answers

Answer:

E

Step-by-step explanation:

Using the cosine and sine ratios in the right triangle and the exact values

cos60° = [tex]\frac{1}{2}[/tex] , sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{s}{10}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2s = 10 ( divide both sides by 2 )

s = 5

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

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{q}{10}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2q = 10[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

q = 5[tex]\sqrt{3}[/tex]

(2x-3)(-2x^2-5x-8)
(2x−3)(−2x
2
−5x−8)

Answers

Answer:

16 x 6 + 32 x 5 +24 x 4 − 184 x 3− 191 x2−48 x  + 576

PLEASE HELP ME WITH THIS QUESTION!!

A military clock has the numbers 1 through 24 evenly spaced around a circular face. What number is directly across from 19?

Answers

Answer:

7

Step-by-step explanation:

On a military clock the difference between a number and it's opposite is always 12

19 - x = 12

19 - 12 = x

7 = x

The number directly across from 19 on a military clock is 17.

How to determine the number directly across from 19 on a military

To find the number directly across from 19 on a military clock, we can subtract 19 from 12 since the clock face is circular with 24 numbers evenly spaced.

12 - 19 = -7

Since we have a negative result, we need to add 24 to it to bring it back into the range of numbers on the clock face.

-7 + 24 = 17

Therefore, the number directly across from 19 on a military clock is 17.

Learn more about word problems at https://brainly.com/question/21405634

#SPJ2

Manuel cuya estatura es de 1.75 m observa la parte alta de un poste de 18.25 m de altura, con un ángulo de elevación de 30°. La distancia horizontal que hay entre el hombre y el poste es¬

Answers

Answer:

i don't understand

Step-by-step explanation:

Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.

Answers

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:

According to the glossary, what are large meteors that enter the Earth's atmosphere?

A) Active galaxy
B) Blueshift
С) Coma
D) Bolide​

Answers

B) Blueshift bbbbbbbbbbb

These tables of ordered pairs represent some points on the graphs of lines p and r.

Which system of equations is represented by lines p and r?


9x−4y=−92x+4y=15

3x−y=−127x+3y=21

2x−y=−82x+y=7

x−2y=−86x+5y=30
Line p
x y
−3 2
0 8
4 16
Line r
x y
−5 17
2 3
5 −3

Answers

Answer:

The answer above mine is correct and here is why.

Step-by-step explanation:

Please rate this answer choice 5 stars and leave a thanks, You do not need an acount  to do this.

A watt is the basic unit measurement of electrical power. Suppose you are running the air conditioner, the washing machine, the clothing dryer, two computers, four light bulbs, the refrigerator, and two televisions Use the chart at the right and calculate how much wattage you might need in this situation. Show your k = write an inequality that shows what the available wattage must be greater than​

Answers

Considerations based on the wattage of the available appliances are required when designing for the electricity.

The required wattage inequality is; Available wattage > 10,460 Watts

Reasons:

The items used and the possible power consumption obtained from a similar are as follows;

Appliance [tex]{}[/tex]                                      Average power (Watts)

One air conditioner;  [tex]{}[/tex]                     3,500

Washing machine; [tex]{}[/tex]                         500

Clothing dryer;  [tex]{}[/tex]                              5,000

Computers × 2;  [tex]{}[/tex]                             70 × 2 = 140

Light bulbs × 4;  [tex]{}[/tex]                             60 × 4 = 240

Refrigerator;  [tex]{}[/tex]                                  600

Television × 2;  [tex]{}[/tex]                               240 × 2 = 480

The power, P, in watts that might be needed is found as follows;

Power, P = 3,500 + 500 + 5,000 + 140 + 240 + 600 + 480 = 10,460

The electric power in watts that might be needed, P = 10,460 Watts

Therefore;

The available wattage must be greater than 10,460 Watts

The inequality is; Available wattage > 10,460 Watts

Learn more about electricity design here:

https://brainly.com/question/24786034

How to find correlation coefficient with standard deviation.

Answers

Answer:

Another way to calculate the correlation coefficient (r) is to multiply the slope of the regression line by the standard deviation of X and then divide by the standard deviation of Y.

What two words make the contradion "there's"
A. There are
B. There is
C. That is
D. There has

Answers

Answer:

C: There is

Step-by-step explanation:

Hope this helps!

Mark as Brainliest if it does.

which expressions are equivalent to 4 (4a + 5)
choose 3 answers

A. 16a + 5
B. 16a + 20
C. 12a + 20 + 4a
D. 2 (8a + 10)
E. 16a + 5 + 4

Answers

Answer:

B 16a + 20

Step-by-step explanation:

4(4a + 5) = 4 times 4a + 4 times 5

= 16a + 20

please help me. i don't understand

Answers

Answer:

#9 the answer is 7

Step-by-step explanation:

so start with what you know. the sum of the angles in a triangle equal 180 degrees

so...

(x + 13) + (17x - 7) + 48 = 180

now just combine like terms

18x + 54 = 180

18x = 126

x = 7

BRAINLIEST
can I get some help on this

Answers

Answer:

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Step-by-step explanation:

REMEMBER SOHCAHTOA (Sin=Opp./Hyp., Cos=Adj./Hyp., Tan=Opp./Adj.)

1.

Sin Q=14/50=7/25

Cos Q=PQ/50

Tan Q=14/PQ

Sin R=PQ/50

Cos R=14/50=7/25

Tan R=PQ/14

2. Tan (48) = x/14, x~~15.549

3. Sin (67) = x/29, x~~26.695

Graph the line with slope -3 and y-Intercept -1

I need a line

Answers

y = mx + b where m is the slope and b is y intercept

Slope is also rise/run.

Decrease £5480 by 10%

Answers

Step-by-step explanation:

the currency does not matter (only if we get into any fractions of the main unit and have to name the fractions properly). % is usually about the number itself.

so,

5480 = 100%

1% = 100%/100 = 5480/100 = 54.8

10% = 1% × 10 = 54.8×10 = 548

and so,

£5480 - 10% = 5480 - 548 = £4932

if course, because of the special number 10% we could have gotten the answer faster, but I wanted to show you the full line of thinking when dealing with %. and needed when the number is not so nice.

Answer
€493.2
Explanation
5480 multiply by 10/100
That mean 5480 multiply 0.1 =548
548- percentage decrease which is(90%)
That mean
548multiply 0.9= €493.2

there is a sale of soft drinks, so four stores are competing with each other. which store offers the best buy ?
store A:12 pack for 3.00
store B: 22 packs for 5.50
store C: 18 pack for 4.75
store D: 36 pack for 8.00

( ill give brainly to whoever answer first w an explanation)

Answers

Answer:

desculpa,mais eu preciso de ponto para ajudar meu irmão

Answer: store D

Explanation: $8/36=22c

What is the Value of (-0.5) (-7.0)?

Answers

the answer is (-0.5) (-7.0)= 3.5

if r*s= sr then 3*2=

Answers

Using the comparison given in the question, the value of 3*2 = 23

From the question given :

We can set up a comparison thus :

r*s = sr

Here,

3*2

r = 3 ; s = 2 r = first value in the expression s = second value in the expression

r*s = sr

Then

3*2 = 23

Therefore, the value of 3*2 = 23

Learn more : https://brainly.com/question/25775672

what number is one less than a cube number 20 22 24 26

Answers

Answer:

18

Step-by-step explanation:

:)

how can u calculate 23x4 if the 4 buton is broken?

Answers

Answer:

23x2x2

Step-by-step explanation:

Help help fast please first answer gets brainiest also needs to be clearly stated

Answers

Answer:

(1,5) and (4,7)

Step-by-step explanation:

The slope of linear equations can be determined by m = rise / run. Rise means the difference between the y coordinates of the two points, and run is that of the y coordinates. In this case rise / run = (7-5) / (4-1) = 2 / 3.

Color the star BLUE if the statement is true and RED if false


pwede p yong tamang answer hehe..bukas na kasi parasahan​

Answers

Answer:

RED

BLUE

BLUE

RED

BLUE

MARK ME BRAINLIEST PLSSS

lily likes to collect records. Last year had 12 records in collection. Now has 15 records. What is the percent increase of ​collection?

Answers

Answer:

25% increase in records

Step-by-step explanation:

25% = 1/4

1/4 of 12 = 3

she got 3 new records, therefore a 25% increase

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