2x + y = 3
x = 3y + 5
subsitution method

Answers

Answer 1

Step-by-step explanation:

2x+y=3

y=3-2x.....eqn (1)

x=3y+5.....eqn(2)

substituting the value of y from eqn 1

x=3(3-2x)+5

x=9-6x+5

x+6x=14

7x=14

x=14/7

x=2

substituting the value of x in eqn 1

y=3-2×2

y=3-4

y=-1

therefore,

x=2

y=-1


Related Questions

Queremos repartir 5 quesos a partes iguales entre ocho personas ¿Qué fracción le corresponde a cada uno?

Answers

Answer:

5/8

Step-by-step explanation:

Se asume que los quesos son iguales.

Para repartirlos Ud., toma cada queso y lo divide en 8 partes iguales y entrega 1/8 de queso a cada quién. Si hace esa operación 5 veces ( ya que son 5 quesos) Ud., debera multiplicar la porcion 1/8 por 5. De tal manera que la respuesta es:

(1/8)* 5  = 5/8

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.

Answers

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2

Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

What are the solutions of x2 + 6x – 16 = 0?
The 2 is a variable PLZZ GET IT RIGHT

Answers

Answer:

[tex]x=2,x=-8[/tex]

Step-by-step explanation:

[tex]x^{2} +6x-16=0\\x^{2} +8x-2x-16=0\\x(x+8)-2(x+8)=0\\x-2=0 ,x+8=0\\x=2,x=-8[/tex]

a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle​

Answers

Answer:

The difference in areas:

124 - 34 = 90 square feet

Percent increase:

90/34*100% = 264.71%

will name the brainliest!!!

Answers

Answer:

x = 10.7 (as rounded to the nearest tenths)

Step-by-step explanation:

Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;

Tan(50) = [tex]\frac{x}{9}[/tex]

=> To isolate the variable x, multiply 9 on each side of "="

Tan(50) * 9 = x

10.7 = x

Hope this helps!

Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:

Answers

Answer:

a = 21%

b = 260%

c = 25%

Step-by-step explanation:

I just answered that question

How many unit cones would you need to make rectangular prism that is 8 cubic units tall, 4 cubic units wide, and 6 cubic units long?

Answers

Answer:

192 unit³

Step-by-step explanation:

The number of unit cones required t make a rectangular prism of the dimension given is obtained by calculating the volume of the rectangular prism:

Height, h = 8 unit³

Width, w = 4 unit³

Length = 6 unit³

The volume of the rectangular Prism is given as :

Volume = Length * width * height

Volume = (6 * 4 * 8) unit³

Volume = 192 unit³

What are the next 3 terms of this pattern? 1056, 1088, 1120..

Answers

Answer:

1,152, 1,184, 1,216

Step-by-step explanation:

First, subtract. 1,088 - 1,056 = 32

Then, add.

1120 + 32 = 1,152

1,152 + 32 = 1,184

1,184 + 32 = 1,216

Lastly, have a nice day!

Answer:

The next three terms are 1152, 1184, 1216.

Step-by-step explanation:

The pattern of this term equation is to add by 32.

1056+ 32 = 1088

1088 + 32= 1120

1120 + 32 = 1152

1152+ 32 = 1184

1184 + 32 = 1216

Could I receive Brainliest please?!

someone help me on this one math problem pls !!!

Answers

Answer:

4/9

Step-by-step explanation:

hi

the graph of the function y=x^(2) is reflected across the x-axis, then translated two units left and six units down, write and equation to represent the new functoin

Answers

Answer: -4,-2

Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4

help pleaseeeeeeeeeee !

Answers

Answer: acute 90-

Step-by-step explanation:

Answer: 21.9

Step-by-step explanation:

tan-1(4 / 10)

I hope im right

Simplify. 24 7/12 - 4 3/8

20 4/4
20 5/24
20 4/96
5/24

Answers

Answer:

20 5/24

Step-by-step explanation:

help this is due in a few minutes!!

Answers

I think it’s a im not that sure though

What is the best measure of center for the histogram
A)Mean
B) Median
C) Mode
D) Range

Answers

Answer:

(B)

Step-by-step explanation:

I think it will help you

Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2

Answers

What the make no sense but I believe it is 50.24 hope that helps

What is the lenght of CD in triangle ABC?
A. 8V2
B. 2V8
C. 2V3
D. 64V2

Answers

[tex]8\sqrt{2}[/tex]Step-by-step explanation:

Help meeeeeeee pleaseeeeeeeeeee

Answers

B is the answer pls mark brainliest

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

a

Step-by-step explanation:

Which expression is equivalent to 9m – 36?

A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40

Answers

The expression is equivalent to 9m-36 is
D is the right answer

i need answer. Please help me.​

Answers

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

This is 100% positive.

plz help I will mark brainliest !!!

Answers

Answer:

-5.3 Fahrenheit

Step-by-step explanation:

mark me brainliest

Answer:

b

Step-by-step explanation:

Find the area of the circle. *
5 cm

Answers

Answer:

A≈78.54

Step-by-step explanation:

HELP!!!!
I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answers

Your answer will be 7 hope this helps

Answer:

Hi!

Question:I am thinking of two numbers. When I add them I get 14. When I take one from the other, I get 6. What is the larger number?

Answer: 7

Explanation: If you add 7+7 you get 14 if you take one from other you will get 6 (7-1=6)

the duration of a movie is 3 hours and 15 minutes if it starts at 6:30pm at what time will it end?​

Answers

Answer:

9:45pm

Step-by-step explanation:

3 hours= 9:30pm

3 hours including 15 minutes= 9:45 pm

Divide $1800 in the ratio 7:5​

Answers

Answer:

7+5 =12

1800/12=150

So 7x150 =1050

And 5x150= 750 so

1050:750

A hardware store has one basket with 40 pairs of slip-joint pliers. 5 of the 40 pairs are 6-inch slip-joint pliers. A second basket contains 20 rubber mallets. 3 of the 20 rubber mallets are small rubber mallets. What is the probability of picking a pair of 6-inch slip-joint pliers and not drawing a small rubber mallet?

Answers

Answer:

[tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

Step-by-step explanation:

In order to find the probability of this sequence of events happening we first need to find the probability of each event happening seperately and then multiply them together.

If there are 40 slip-joint pliers and only 5 are 6-inch then the probability of picking a 6-inch plier is 5/40. If there are a total of 20 rubber malets and only 3 are small then the probability of picking a non-small rubber mallet would be 17/20... Now we simply multiply these two probabilities together...

[tex]\frac{5 *17}{40 * 20}[/tex] = [tex]\frac{85}{800}[/tex] or [tex]\frac{17}{160}[/tex] simplified

Math
HELPP PLEASEEE

It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?


Answers

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

WHOEVER ANSWERS FIRST GET BRAINLIEST

Multiply.

4 1/6 × 5 3/5

Enter your answer in the box as a mixed number in simplest form.
(Answer)

Answers

Answer:

Exact Form: 70/3

Decimal Form: 23.333

Mixed Number: 23 1/3

Step-by-step explanation:

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