Solve the system of equations for x and y.
y = x + 5
y = 2x + 2

Answers

Answer 1
Answer (x,y) (3, -2)

Explanation:
using the
substitution method
y
=
x

5

(
1
)
y
=

2
x
+
4

(
2
)
since both equations are expressed in terms of x we

can equate them

x

5
=

2
x
+
4
add 2x to both sides
2
x
+
x

5
=

2
x
+
2
x
+
4

3
x

5
=
4
add 5 from both sides
3
x
+
5

5
=
4
+
5

3
x
=
9
divide both sides by 3
3
x
3
=
9
3

x
=
3
substitute this value in
(
1
)
y
=
3

5
=

2
As a check
substitute these values into
(
2
)
right
=

6
+
4
=

2
=
left

point of intersection
=
(
3
,

2
)

Related Questions

I'm gonna take a picture​

Answers

Answer:

???

Step-by-step explanation:

A wire is first bent into the shape of a square. Each side of the square is 9cm long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 13cm, what is its width

Answers

Answer:

5 cm

Step-by-step explanation:

the perimeter of a square with sides of 9 cm is 36 cm so the rectangle must have the same perimeter

if the length of the rectangle is 13cm, its opposite side is also 13cm

add 13 + 13 to get 26

let 'n' = width of rectangle

perimeter = 26 + n + n

36 = 26 + 2n

2n = 10

n = 5

If the length of the rectangle is 13 cm then the width of the rectangle will be equal to 5 cm.

What is the perimeter?

A shape's perimeter is the whole distance encircling it. It is the perimeter or length of the contour of any two-dimensional geometric body. The circumference of several figures could be compared based on the measurements.

As per the information given in the question,

Length of the side of the square = 8 cm

Then, use the formula of the perimeter of the square = 4 × side

= 4 × 9 = 36 cm

The length of the rectangle = 13 cm

Use the formula of the perimeter of the rectangle,

P = 2(l + w)

36 = 2(13 + w)

36 -26 = 2w

w = 10/2

w = 5 cm

To know more about Perimeter:

https://brainly.com/question/6465134

#SPJ5

Help pls fast as possible

Answers

Answer:

In the middle the narration changes to the inner dialogue of Leamas. We are given the opportunity to be with his thoughts and experience the character for ourselfs

Answer:

The experimental and theoretical probabilities will be completely random because flipping the coin which, of course, has two different sides, the probability is cut perfectly in half.

hope this helps

Step-by-step explanation:

If a cube has a volume of 343cm^3, what is the area of one face?

Answers

Answer: 294 cm^2

Volume of the cube= 343 cm^3

l^3=343

l= 3 root 343

l=7cm

SA= 6*l^2

SA=6*7*7

=294 cm^2

whats the area of 5 and 16

Answers

Answer:

The area of a shape that has a length of 5 and a width of 16 is 80.

Step-by-step explanation:

Just multiply 5 by 16.

plz help I need help
help !!!!!!

Answers

Answer:

W=4

Step-by-step explanation:

When you plug 4 into w, it changes into 4/8 which simplifies to 1/2.

1/2 times 6 is 3.

11+3=14

The faces of an eight-sided solid are labeled 1 through 8. Each

number has an equal chance of being rolled. Two of these solids

are rolled. What is the probability that an odd number is rolled on

both solids?

Answers

Answer:

The probability that an odd number is rolled on  both solids is [tex]\frac{1}{4}[/tex].

Step-by-step explanation:

Consider the provided information.

For the 8 sided dice the total number of outcomes = 64.

The favourable outcomes i.e odd numbers on both the solid = 16

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (1,7), (1,8)  

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (2,7), (2,8)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (3,7), (3,8)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (4,7), (4,8)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (5,7), (5,8)    

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (6,7), (6,8)

(7,1), (7,2), (7,3), (7,4), (7,5), (7,6), (7,7), (7,8)      

(8,1), (8,2), (8,3), (8,4), (8,5), (8,6), (8,7), (8,8)  

We know that [tex]\text{Probability}=\frac{\text{Favourable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability of odd on both solid}=\frac{16}{64}[/tex]

[tex]\text{Probability of odd on both solid}=\frac{1}{4}[/tex]

Hence, the probability that an odd number is rolled on  both solids is [tex]\frac{1}{4}[/tex].

pls hurry !!
8x+2=5x+12 simplified fraction

Answers

Answer: 10/3

Step-by-step explanation: trust me my guy g o o g l e is always correct

Answer:

hope this helps

Step-by-step explanation:

Need help again lol ...

Answers

Answer:

i got you

Step-by-step explanation:

2 is 142

4 is 142

(they are parallel therefore they are the same :))

K/3+4-5k=-2k what is the answer???

Answers

Answer:

Solve for k by simplifying both sides of the equation, then isolating the variable.

Exact Form: k = 3/2

Decimal Form: k = 1.5

Mixed Number Form: k = 1  1/2

Hope this helps!

Answer:

k = [tex]\frac{3}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{k}{3}[/tex] + 4 - 5k = - 2k

Multiply through by 3 to clear the fraction

k + 12 - 15k = - 6k

- 14k + 12 = - 6k ( add 14k to both sides )

12 = 8k ( divide both sides by 8 )

k = [tex]\frac{12}{8}[/tex] = [tex]\frac{3}{2}[/tex]

find the measurement of the missing angles

Answers

Answer:

every angle is 90°

Step-by-step explanation:

I need help to these answers asap! 20 points!

Answers

Answer:

Step-by-step explanation:

a is o.53 repeated

Answer:

it would be -3 for letter B.

Step-by-step explanation:

why okay reduce the number so it would be 9/4 ÷ 3/4 if that makes sense



A store sells
pound of beef for $0.75. If you are having a party and need 6 pounds of beef for hamburgers, using the unit rate, how much would it cost
0 A $3.00
O B. $12.00
O C. $18.00
O D. $24.00

Answers

C
Hope this helps!!!!!

Joy delivered 450 newspapers in 3 hours how many can she deliver in 4 hours

Answers

Step-by-step explanation:

Time in hours is directly proportional to the number of newspapers.

3 hours = 450 newspapers

=> 4 hours = 450 * (4/3) = 600 newspapers.

Hence Joy can deliver 600 newspapers in 4 hours.

PLEASE HELP:)
Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

[tex]x=42[/tex]

Step-by-step explanation:

Since we use the sides opposite and adjacent to the given angle, we will use the tangent ratio:

[tex]tangentX=\frac{opposite}{adjacent}[/tex]

Insert the given values:

[tex]tanX=\frac{9}{10}[/tex]

Since we need to find the angle, use the inverse:

[tex]x=tan^{-1}(\frac{9}{10})[/tex]

Insert the equation into a calculator:

[tex]x=41.98721249[/tex]

Round to the nearest tenth:

[tex]x=42.0[/tex]

:Done

Answer:

it rounds to 42.0, using tangent

Step-by-step explanation:

give other person brainliest

True or false?
67.1 < 67.09
True or false?
1880.09 < 1880.023

Answers

Question:




Answer: true

Answer:

Step-by-step explanation:

67.1< (less than) 67.09

False

1880.09< (less than) 1880.023

False

How many different triangles can you make that have angels 60˚, 60˚, 60˚ ?

Answers

Answer:

Infinite

Step-by-step explanation:

A triangle that has all 60-degree angles is equilateral, which means that all side lengths are the same. However, there are infinite possibilities for the side lengths!

I hope this helped, please give brainliest if this is correct! Thank you!

Can make infinite amounts of triangles

hiii please help i’ll give brainliest if you give a correct answer ty!!

Answers

Answer:

3) $76.00

Step-by-step explanation:

I did my math

What is the slop of the line that passes through the points (1,3) and (2,1)

Answers

Answer:

-2

Step-by-step explanation:

Someone plz help and include an explanation plz cuz I’m a lil confused

Answers

Answer:

[tex]-\frac{5}{4}[/tex]

Step-by-step explanation:

The slope of a graph is the rate of change between two points. To find the slope in a graph you use: [tex]\frac{rise}{run}=\frac{y}{x}[/tex]

The y goes down by 5 and right by 4 so it'll be [tex]-\frac{5}{4}[/tex]

Also: If the line is going down the slope is always negative and vise versa

The formula for this qns is y1-y2 over x2-x1 so assume the scale is 1 to1

PLEASE HELP MATH WORK!!

Answers

Answer: ↓↓

Step-by-step explanation:

x^0 -- 1

x^-a -- 1/x^a

x^a * x^b -- x^a + b

x^a/x^b -- x^a - b

(x^a)^b -- x^ab

PLEASE HELP ASAP


Use the graph below for this question


What is the average rate of change from x = 0 to x = 2?

-4
-8
1
5

Answers

Answer:

The average rate will be: -4

Hence, option A is correct.

Step-by-step explanation:

Given the interval

0 ≤ x  ≤ 2

From the graph, it is clear that:

at x₁ = 0, f(x₁) = 3

at x₂ = 2,  f(x₂) = -5

Using the formula to determine the average rate of change:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [-5 - 3] / [2-0]

                      = -8 / 2

                     = - 4

Therefore, the average rate will be: -4

Hence, option A is correct.

please help me please will give brainliest to anyone who is right ​

Answers

Answer:

A (?)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

if you look at the graph the area thats purple for texas is farther up it meaning the tempature is higher.

Please help and
show workings

Answers

Answer:

x=2

Step-by-step explanation:

Alright for this type of problem the line CE is proportional to line FG meaning that the length of line CE is two times the length of EG. What we want to do is set up an equation that will help us solve for x. The equation would be

18-4x=6x-7 but because line CE is two time greater than line FG we have to multiply the side of EG by 2 so the new equation is

18-4x=12x-14 Now we can began to solve

step 1 : subtract 18 to each side

-4x=12x-32

step 2; subtract 12 from each side

-16x=-32

step 3: divide each side by -16

x=2

I Hope this Helps you out a little (:

In trapezoid JKLM, determine LM.

Answers

Answer:

Luther Martin

Step-by-step explanation:

find an expression for the nth term (t_n) in each of the following​

Answers

Answer:

[tex]\boxed{\pink{\tt\longmapsto The \ nth \ term \ of \ the \ sequence\ is \ given \ by \frac{1}{n}}} [/tex]

Step-by-step explanation:

A sequence is given to us is , and we need to find expression for nth term of the sequence. The given sequence is ,

[tex]\boxed{\boxed{\blue{\qquad\bf 1 , \dfrac{1}{2},\dfrac{1}{3},\dfrac{1}{4},\dfrac{1}{5},\dfrac{1}{6}}}}[/tex]

When we flip the numbers , we can clearly see that the number are in Harmonic Progression.

That is when we flip the numbers they are found to be in Arithmetic Progression .

And nth term of an Harmonic Progression is :-

[tex]\boxed{\purple{\bf T_{(Harmonic \ Progression)} = \dfrac{1}{a+(n-1)d}}} [/tex]

Hence here

Common difference = 1First term = 1 .

Substituting the respective values,

[tex]\bf\implies T_{n}= \dfrac{1}{a+(n-1)d} \\\\\bf\implies T_{n} = \dfrac{1}{1+(n-1)1}\\\\\bf\implies T_n = \dfrac{1}{1+n-1}\\\\\bf\implies\boxed{\red{\bf T_{n}=\dfrac{1}{n}}}[/tex]

Hence the nth term of the given sequence is given by ¹/n .

The outside wall of a dollhouse has the shape of this polygon. What is the area of the polygon?

Answers

What polygon are you talking about?, there isn’t a picture provided.

whats 10.66 rounded to the nearest tenth?

Answers

Answer:

10.7

Step-by-step explanation:

10.66 rounds up to 10.7

If x = 1 is a zero of the polynomial 3+ kx^2 + 2 ,find the value of k.

Plz it's urgent. ​

Answers

Answer:

k = i√ 5 , -i√ 5

Step-by-step explanation:

3 + kx^2 + 2 = ?

3 + k(1)^2 + 2 = ?

5 + k(1)^2 = ?

5 + k^2 = ?

k^2 = -5

k = i√ 5 , -i√ 5

What is the value of 675 if the six was changed to 9

Answers

Answer:

975

Step-by-step explanation:

Answer:

975 what kind of question of that

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