Solve this system of equations by substitution
x=y+3
x+7=2y

Answers

Answer 1

Answer:

(13, 10 )

Step-by-step explanation:

Given the 2 equations

x = y + 3 → (1)

x + 7 = 2y → (2)

Substitute x = y + 3 into (2)

y + 3 + 7 = 2y

y + 10 = 2y ( subtract y from both sides )

10 = y

Substitute y = 10 into (1) for corresponding value of x

x = 10 + 3 = 13

solution is (13, 10 )


Related Questions

If takes 660 metres of fence to enclose a rectangular field. if one side is 30 metres less that twice the other side, find the dimensions of this field (Please help)

Answers

Answer:

210 by 120

Step-by-step explanation:

perimeter=2l+2w

length= 2w-30

width= w

2(2w-30+w) = 660

6w-60= 660

6w= 720

w=120

length= 2*120-30 = 210

The coordinate plane below shows a triangular region at sea between three islands. Each unit on the coordinate plane represents 10 miles
SEARCH REGION
sty
7
А
6
5
4
2
C
-8-7-6-5-4-3-2-191
3 4 5 6 7 8 >
B
-345
B
4
-5
-6
H=10 miles
-81
What are the area and perimeter of the triangular region? Choose all that are correct

Answers

Answer:

Step-by-step explanation:

A point in geometry is a location. It has no size i.e. no width, no length and no depth. A point is shown by a dot. A line is defined as a line of points that extends infinitely in two directions. ... A plane extends infinitely in two dimensions

I need help I can't find the answer.

Answers

X=9 line ts =59°
Equation is :10x-31=59
59+31=90
90/10=9

BRAINLIEST PLS ANSWER LOVESSS

Laura and Luis are hosting a FIFA World Cup Finals party and have purchased dinnerware to represent their favorite teams. Lara, a fan of team Germany, bought 25cups and 40plates with the German flag printed on them. Luis, who is rooting for Argentina, bought20cups and 35plates with the Argentinian Flag printed on them. Laura spent a total of $445.00and Luis spent a total of $380.00.

Which of the following systems could represent the situation? Select all that apply.
25c+40p=445
25c+25c=445
20+35=380
35+40=380
45+75=825

Answers

Answer:

The first and the third the last as well

Step-by-step explanation:

Hey I’m sorry but can you answer my question it’s due at 8

question is attached
will give brainliest ty !!

Answers

Answer:

A. (2x, 2y)

Step-by-step explanation:

Original figure: PQRTS

Dilated figure: P'Q'R'S'T'

Take one of the corresponding sides of the figure and find the scale factor:

SR = 2, S'R' = 4Scale factor is 4/2 = 2

The dilation rule as per above is:

(x, y) → (2x, 2y)

Correct option is A

(2x-3)(2x+7) trinomial

Answers

[tex]4[/tex][tex]x^{2}[/tex][tex]+8x-21[/tex]

Step-by-step explanation:

Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.

Answers

Answer:

[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]

Alternative method:

[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]

Answer:

thr percent decrease is 15%

Step-by-step explanation:

you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%

Finally, add the areas of triangle A, rectangle B, and triangle C What is the total area of the polygon? Enter your answer in the box. The total area of the polygon is square inches.​

Answers

Answer:

there is noo triangle for me to answer this quiestioon

Step-by-step explanation:

Answer:

no pic

Step-by-step explanation:

Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively. (2 points)
a
an = 2 • 3n - 1

b
an = 2 • (-3)n - 1

c
an = 2 • 3n

d
an = 2 • (-3)n + 1

Answers

Answer: C is the answer

11 of 14
A train leaves at 14.54 and arrives at its destination at 15.47.
If the train travelled 66 km, what was it's average speed in km/h?
Give your answer rounded to 1 dp.
km/h

Answers

Answer:

74.7 km/h

Step-by-step explanation:

The computation of the average speed is shown below:

As we know that

Speed = Distance ÷ Time

where

Distance = 66 km

And, the time is from 14.54 to 15.47 is 53 minutes

So, the speed is

= 66 km ÷ 53 minutes

= 74.71698 kilometers per hour

= 74.7 km/h

Complete the table for the given rule

Answers

x= 4/3
first y= 10/3
second y=8

Malala is following this recipe for bread rolls.
She uses 500 mL of water.
How much of each of the other ingredients does she use?

Recipe: Makes 15 bread rolls
480 g flour
12 g salt
6 g yeast
30 mL oil
600 mL water

Answers

Answer:

500ml water

400 g flour

2 g salt

5 g yeast

25ml oil

Step-by-step explanation:

PLS HELP!! What is the radius of a shape with a circumference of 8.9?

Answers

Answer: 1.42

Step-by-step explanation:

The graph of f(x) = x2 − 3x − 28 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 4 comma zero, zero comma negative 28, and 7 comma zero

(−4, 0), (0, −28), (7, 0)
(−4, 0), (−1, −24), (0, −28), (3, −28), (7, 0)
(x, x2 − 3x − 28) for all real numbers
(x, y) for all real numbers

Answers

Answer:

C. (x, x2 − 3x − 28) for all real numbers

Function graphs are graphs of solution equations for y! In this instance, f(x) = x² -3x -28 is the graph.

Constructing a Function Graph:

⇒f(x) = x² − 3x − 28

A group of all points in the plane of the form (x, f(x)) constitutes the diagram of a function f. The graph of f can also be defined as the graph of an equation y = f(x). As a corollary, a function's graph is a subset of an equation's graph.

Solving equation:

⇒f(x) = x² − 3x − 28

⇒f(x) = x² − (7−4)x − 28

⇒f(x) = x² − 7x+4x − 28

⇒f(x) = x(x −7) +4(x −7)

⇒f(x) = (x −7) (x+4)

Please find the attached file.

Find out more about the graph function here:

brainly.com/question/15165011

8.
50 in.
Write an expression for the perimeter in simplest radical
form
V8 in.
V8 in.
V18 in.
I a) 2V21 in.
I b) 12v2 in.
I c) 218 + 8V2 in.
d) They aren't like terms

Answers

Answer:

Do you want the perimeter of this shape?

Solve the system by graphing. x + y = 27 and y=x+3. The solution is ( , ).​

Answers

Answer:

X=12 Y=15

Step-by-step explanation:

X+Y=27 (1)

Y=X+3 (2)

substitute (2) into (1)

X+X+3=27

2X=24

X=12

substitute X=12 into (2)

Y=12+3

Y=15

can I get some help somebody? reward brainiest

Answers

Answer:

Step-by-step explanation:

1). x² - 8x

  To convert this expression into a perfect square trinomial,

  x² - 2(4x) + = (x - 2)²

  Therefore , 4² = 16 should be added.

  Option (4) is the answer.

2). x² + 2x = 3

   x² + 2(1)(x) = 3

   x² + 2(1)(x) + 1 = 3 + 1 [By adding 1 on both the sides]

   (x + 1)² = 4

    x + 1 = ±2

    x = -3, -1

   Option (1) is the answer.

3). 3x²- 18x = 21

    x² - 6x = 7

    x² - 2(3x) = 7

    x² - 2(3x) + 3² = 7 + 3²

    (x - 3)² = 7 + 9

    (x - 3)² = 16

     x - 3 = ±4

     x = -1, 7

Pls help with the first one thank you

Answers

Answer:

1) 54 is the answer

2) The shape is cube

54 is the answer and the shape is a cube

Please find x and a​

Answers

Answer:

x = 36

a = 25

Step-by-step Explanation

By Pythagoras Theorem:

[tex]x = \sqrt{ {39}^{2} - {15}^{2} } \\ \\ x = \sqrt{1,521 - 225} \\ \\ x = \sqrt{1,296} \\ \\ x = 36 \\ \\ a = \sqrt{ {20}^{2} + {15}^{2} } \\ \\ a = \sqrt{400 + 225} \\ \\ a = 25 \sqrt{625} \\ \\ a = 25[/tex]

Can you help me solve this please​

Answers

9514 1404 393

Answer:

  180 days

Step-by-step explanation:

The formulas for the volume of a cone and a cylinder are ...

  V = πr²h . . . . . volume of a cone

  V = (1/3)πr²h . . . . . volume of a cylinder

Comparing these formulas, you can see that the 6' high cone at the top will have the same volume as a cylinder of the same radius that is 2' high. So, we can simplify the problem to finding the volume of a cylinder that is 66+2 = 68' high.

  V = π(12 ft)²(68 ft) = 9792π ft³ ≈ 30752.5 ft³

When the corn is used at the rate of 170 ft³/day, it will last ...

  (30752.5 ft³)/(170 ft³/day) ≈ 180.96 days

The corn will last 180 days.

_____

Additional comment

In scenarios like this, it is inappropriate to round up. There will be about 162 ft³ of corn left after 180 days, which is not enough for an additional day.

find the slope
5x -3y = 18

Answers

Answer:

m=5/3

Step-by-step explanation:

I think the slope is m=5/3

I need help on this question :/

Answers

Answer: 50-50

Step-by-step explanation:

30 timess please only serious awnseresss

Answers

Answer:

120

Step-by-step explanation:

Answer:

30 times ?

let no be x

30×x=30x

30×4=120

2) A fair coin was tossed 75 times. The coin landed on Heads 42 times and Tails 33 times. What is the experimental probability of the coin landing tails side up? Your answer needs to be a fraction in simplest form. Grid in boxes below. One digit/symbol per box, 7. SP.6 5) Tanya set a goal to swim 30​

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

In the experiment that was conducted the coin was tossed a total of 75 times and out of those times it only landed on tails 33 times. Therefore the experimental probability of the coin landing on tails can be calculated by the dividing the times it landed on tails by the total number of times it was tossed. Like so...

[tex]\frac{33}{75}[/tex] or 0.44

This fraction can also be simplified to its simplest form of [tex]\frac{11}{25}[/tex] which is obtained by dividing both the numerator and denominator by 3

PLEASE HELP !!

An advertising company charges $100 each time an advertisement is shown. It costs $200 to create the
advertisement. The cost to create the advertisement and show it x times is given by the function
C(x) = 100x+ 200.

Answers

Answer:

30

Step-by-step explanation:

1 plus 2 is 6 x 2 plus 5

Answer:

3

Step-by-step explanation:

500=100×+200

500-200=100×

300=100×

300/100=×

3=×

Find the measure of each missing angle explain work

Answers

angle 1: 52 degrees
angle 2: 79 degrees
angle 3: 38 degrees

explanation:
angle 1: 180 - 90 - 38 = 52
angle 2: 180 - 63 - 38 = 79
angle 3: 90 - 52

4x - 12 = 36 *
pls helppppppppppppppppp

Answers

X=12

36 + 12 = 48

48/4 = 12

Which expressions are equal?

A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14

Answers

Answer:

Step-by-step explanation:

2(x + 3) + 2x

2x + 6 + 2x

4x + 6 and 4x + 3 not equal

3(x + 2) + 4x

3x + 6 + 4x

7x + 6 and 6x + 6 not equal

5x + 2(x + 4)

5x + 2x + 8

7x + 8 and 6x + 8 not equal.

4 + 5(x + 2)

4 + 5x + 10

5x + 14 and 5x + 14 are equal

HHhhheeelllppppp!!!!!!!!

Answers

Answer: 9x-3

Step-by-step explanation:

Check
Use the diagram to answer the question.
If m Z1 = 45°, which other angles have a measure of
45°? Check all that apply.
t
22
O 23
a
1
2
m 24
25
3
4
b
>>
26
5
6

Answers

Answer:

<5 and <4

Step-by-step explanation:

Corresponding angles are congruent.

<1=<5

Opposite Interior angles are also congruent.

Answer:

∠4 and ∠5

Step-by-step explanation:

Opposite interior and corresponding angles have the same measurement.

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